969918000 has 320 divisors, whose sum is σ = 3413674368. Its totient is φ = 235929600.

The previous prime is 969917951. The next prime is 969918029. The reversal of 969918000 is 819969.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3773872 + ... + 3774128.

Almost surely, 2^969918000 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 969918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706837184).

969918000 is an abundant number, since it is smaller than the sum of its proper divisors (2443756368).

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

969918000 is a wasteful number, since it uses less digits than its factorization.

969918000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 969918000 is about 31143.5065463091. The cubic root of 969918000 is about 989.8704044217.

The spelling of 969918000 in words is "nine hundred sixty-nine million, nine hundred eighteen thousand".