1167720400 has 240 divisors, whose sum is σ = 3613483008. Its totient is φ = 351936000.

The previous prime is 1167720371. The next prime is 1167720401. The reversal of 1167720400 is 40277611.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167720401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954189 + ... + 955411.

Almost surely, 2^1167720400 is an apocalyptic number.

1167720400 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 1167720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806741504).

1167720400 is an abundant number, since it is smaller than the sum of its proper divisors (2445762608).

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

1167720400 is a wasteful number, since it uses less digits than its factorization.

1167720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 1167720400 is about 34171.9241483414. The cubic root of 1167720400 is about 1053.0434451252.

The spelling of 1167720400 in words is "one billion, one hundred sixty-seven million, seven hundred twenty thousand, four hundred".