961178400 has 720 divisors, whose sum is σ = 4340597184. Its totient is φ = 201553920.

The previous prime is 961178377. The next prime is 961178417. The reversal of 961178400 is 4871169.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 119 ways as a sum of consecutive naturals, for example, 5896719 + ... + 5896881.

Almost surely, 2^961178400 is an apocalyptic number.

961178400 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 961178400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170298592).

961178400 is an abundant number, since it is smaller than the sum of its proper divisors (3379418784).

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

961178400 is a wasteful number, since it uses less digits than its factorization.

961178400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 961178400 is about 31002.8772858262. The cubic root of 961178400 is about 986.8883013995. Note that the first 3 decimals are identical.

The spelling of 961178400 in words is "nine hundred sixty-one million, one hundred seventy-eight thousand, four hundred".