961554400 has 72 divisors (see below), whose sum is σ = 2369145240. Its totient is φ = 381058560.

The previous prime is 961554389. The next prime is 961554469. The reversal of 961554400 is 4455169.

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 11 ways as a sum of consecutive naturals, for example, 81687 + ... + 92713.

It is an arithmetic number, because the mean of its divisors is an integer number (32904795).

Almost surely, 2^961554400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184572620).

961554400 is an abundant number, since it is smaller than the sum of its proper divisors (1407590840).

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

961554400 is a wasteful number, since it uses less digits than its factorization.

961554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11156 (or 11143 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 961554400 is about 31008.9406462072. The cubic root of 961554400 is about 987.0169704118.

The spelling of 961554400 in words is "nine hundred sixty-one million, five hundred fifty-four thousand, four hundred".