961518600 has 480 divisors, whose sum is σ = 3907041600. Its totient is φ = 214617600.

The previous prime is 961518587. The next prime is 961518619. The reversal of 961518600 is 6815169.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6917331 + ... + 6917469.

It is an arithmetic number, because the mean of its divisors is an integer number (8139670).

Almost surely, 2^961518600 is an apocalyptic number.

961518600 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 961518600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953520800).

961518600 is an abundant number, since it is smaller than the sum of its proper divisors (2945523000).

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

961518600 is a wasteful number, since it uses less digits than its factorization.

961518600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 961518600 is about 31008.3633879636. The cubic root of 961518600 is about 987.0047209242.

The spelling of 961518600 in words is "nine hundred sixty-one million, five hundred eighteen thousand, six hundred".