961374000 has 160 divisors (see below), whose sum is σ = 3121657344. Its totient is φ = 254534400.

The previous prime is 961373999. The next prime is 961374017. The reversal of 961374000 is 473169.

It is a happy number.

961374000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977509 + ... + 978491.

Almost surely, 2^961374000 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 961374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560828672).

961374000 is an abundant number, since it is smaller than the sum of its proper divisors (2160283344).

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

961374000 is a wasteful number, since it uses less digits than its factorization.

961374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 961374000 is about 31006.0316712733. The cubic root of 961374000 is about 986.9552408491.

The spelling of 961374000 in words is "nine hundred sixty-one million, three hundred seventy-four thousand".