956970000 has 600 divisors, whose sum is σ = 4028710400. Its totient is φ = 211680000.

The previous prime is 956969983. The next prime is 956970023. The reversal of 956970000 is 79659.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30869985 + ... + 30870015.

Almost surely, 2^956970000 is an apocalyptic number.

956970000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014355200).

956970000 is an abundant number, since it is smaller than the sum of its proper divisors (3071740400).

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

956970000 is a wasteful number, since it uses less digits than its factorization.

956970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 956970000 is about 30934.9317115781. The cubic root of 956970000 is about 985.4458716459.

The spelling of 956970000 in words is "nine hundred fifty-six million, nine hundred seventy thousand".