956670000 has 400 divisors, whose sum is σ = 3644433408. Its totient is φ = 213120000.

The previous prime is 956669993. The next prime is 956670017. The reversal of 956670000 is 76659.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4289889 + ... + 4290111.

Almost surely, 2^956670000 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 956670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822216704).

956670000 is an abundant number, since it is smaller than the sum of its proper divisors (2687763408).

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

956670000 is a wasteful number, since it uses less digits than its factorization.

956670000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 956670000 is about 30930.0824441190. The cubic root of 956670000 is about 985.3428852550.

The spelling of 956670000 in words is "nine hundred fifty-six million, six hundred seventy thousand".