961986900 has 144 divisors (see below), whose sum is σ = 3206905856. Its totient is φ = 218090880.

The previous prime is 961986889. The next prime is 961986931. The reversal of 961986900 is 9689169.

It is a super-2 number, since 2×961986900² = 1850837591543220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 961986900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264897 + ... + 268503.

Almost surely, 2^961986900 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 961986900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603452928).

961986900 is an abundant number, since it is smaller than the sum of its proper divisors (2244918956).

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

961986900 is a wasteful number, since it uses less digits than its factorization.

961986900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 961986900 is about 31015.9136573469. The cubic root of 961986900 is about 987.1649325214.

The spelling of 961986900 in words is "nine hundred sixty-one million, nine hundred eighty-six thousand, nine hundred".