961588800 has 168 divisors, whose sum is σ = 3505504800. Its totient is φ = 256412160.

The previous prime is 961588787. The next prime is 961588801. The reversal of 961588800 is 8885169.

961588800 is a `hidden beast` number, since 9 + 61 + 588 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (961588801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32071 + ... + 54329.

It is an arithmetic number, because the mean of its divisors is an integer number (20866100).

Almost surely, 2^961588800 is an apocalyptic number.

961588800 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 961588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752752400).

961588800 is an abundant number, since it is smaller than the sum of its proper divisors (2543916000).

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

961588800 is a wasteful number, since it uses less digits than its factorization.

961588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22290 (or 22269 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 961588800 is about 31009.4953199822. The cubic root of 961588800 is about 987.0287405827.

The spelling of 961588800 in words is "nine hundred sixty-one million, five hundred eighty-eight thousand, eight hundred".