961661200 has 60 divisors (see below), whose sum is σ = 2318074228. Its totient is φ = 383385600.

The previous prime is 961661189. The next prime is 961661209. The reversal of 961661200 is 2166169.

It can be written as a sum of positive squares in 6 ways, for example, as 139806976 + 821854224 = 11824^2 + 28668^2 .

It is not an unprimeable number, because it can be changed into a prime (961661209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121360 + ... + 129040.

Almost surely, 2^961661200 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 961661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159037114).

961661200 is an abundant number, since it is smaller than the sum of its proper divisors (1356413028).

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

961661200 is a wasteful number, since it uses less digits than its factorization.

961661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 961661200 is about 31010.6626823743. The cubic root of 961661200 is about 987.0535117695.

The spelling of 961661200 in words is "nine hundred sixty-one million, six hundred sixty-one thousand, two hundred".