961590600 has 144 divisors (see below), whose sum is σ = 3238185600. Its totient is φ = 255722880.

The previous prime is 961590577. The next prime is 961590629. The reversal of 961590600 is 6095169.

961590600 is a `hidden beast` number, since 9 + 6 + 1 + 590 + 60 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 1293829 + ... + 1294571.

It is an arithmetic number, because the mean of its divisors is an integer number (22487400).

Almost surely, 2^961590600 is an apocalyptic number.

961590600 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 961590600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619092800).

961590600 is an abundant number, since it is smaller than the sum of its proper divisors (2276595000).

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

961590600 is a wasteful number, since it uses less digits than its factorization.

961590600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 961590600 is about 31009.5243433368. The cubic root of 961590600 is about 987.0293564560.

The spelling of 961590600 in words is "nine hundred sixty-one million, five hundred ninety thousand, six hundred".