1167214400 has 126 divisors (see below), whose sum is σ = 3157434630. Its totient is φ = 424371200.

The previous prime is 1167214361. The next prime is 1167214409. The reversal of 1167214400 is 44127611.

It can be written as a sum of positive squares in 3 ways, for example, as 282508864 + 884705536 = 16808^2 + 29744^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1167214400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167214409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 190586 + ... + 196614.

It is an arithmetic number, because the mean of its divisors is an integer number (25059005).

Almost surely, 2^1167214400 is an apocalyptic number.

1167214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1167214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578717315).

1167214400 is an abundant number, since it is smaller than the sum of its proper divisors (1990220230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1167214400 is a wasteful number, since it uses less digits than its factorization.

1167214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6073 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1167214400 is about 34164.5196073353. The cubic root of 1167214400 is about 1052.8913205339.

It can be divided in two parts, 116721 and 4400, that added together give a palindrome (121121).

The spelling of 1167214400 in words is "one billion, one hundred sixty-seven million, two hundred fourteen thousand, four hundred".