962868000 has 96 divisors (see below), whose sum is σ = 3154394880. Its totient is φ = 256761600.

The previous prime is 962867993. The next prime is 962868017. The reversal of 962868000 is 868269.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×962868000² = 1854229570848000000, 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 962868000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28120 + ... + 52119.

It is an arithmetic number, because the mean of its divisors is an integer number (32858280).

Almost surely, 2^962868000 is an apocalyptic number.

It is an amenable number.

962868000 is an abundant number, since it is smaller than the sum of its proper divisors (2191526880).

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

962868000 is a wasteful number, since it uses less digits than its factorization.

962868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80267 (or 80249 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 962868000 is about 31030.1144052032. The cubic root of 962868000 is about 987.4662275477.

The spelling of 962868000 in words is "nine hundred sixty-two million, eight hundred sixty-eight thousand".