961592400 has 180 divisors, whose sum is σ = 3364115040. Its totient is φ = 254342400.

The previous prime is 961592389. The next prime is 961592419. The reversal of 961592400 is 4295169.

961592400 is a `hidden beast` number, since 9 + 61 + 592 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 470581 + ... + 472619.

It is an arithmetic number, because the mean of its divisors is an integer number (18689528).

Almost surely, 2^961592400 is an apocalyptic number.

961592400 is a gapful number since it is divisible by the number (90) 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 961592400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682057520).

961592400 is an abundant number, since it is smaller than the sum of its proper divisors (2402522640).

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

961592400 is a wasteful number, since it uses less digits than its factorization.

961592400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 961592400 is about 31009.5533666643. The cubic root of 961592400 is about 987.0299723285.

The spelling of 961592400 in words is "nine hundred sixty-one million, five hundred ninety-two thousand, four hundred".