1132654400 has 168 divisors, whose sum is σ = 2897757984. Its totient is φ = 435456000.

The previous prime is 1132654399. The next prime is 1132654403. The reversal of 1132654400 is 44562311.

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 1132654400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132654403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6948719 + ... + 6948881.

Almost surely, 2^1132654400 is an apocalyptic number.

1132654400 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 1132654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448878992).

1132654400 is an abundant number, since it is smaller than the sum of its proper divisors (1765103584).

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

1132654400 is a wasteful number, since it uses less digits than its factorization.

1132654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1132654400 is about 33654.9312880000. The cubic root of 1132654400 is about 1042.3953662426.

The spelling of 1132654400 in words is "one billion, one hundred thirty-two million, six hundred fifty-four thousand, four hundred".