953913664 has 84 divisors (see below), whose sum is σ = 2094484000. Its totient is φ = 430721280.

The previous prime is 953913641. The next prime is 953913671. The reversal of 953913664 is 466319359.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1540747 + ... + 1541365.

Almost surely, 2^953913664 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 953913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047242000).

953913664 is an abundant number, since it is smaller than the sum of its proper divisors (1140570336).

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

953913664 is a wasteful number, since it uses less digits than its factorization.

953913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 831 counting only the distinct ones).

The product of its digits is 524880, while the sum is 46.

The square root of 953913664 is about 30885.4927757353. The cubic root of 953913664 is about 984.3956590729.

The spelling of 953913664 in words is "nine hundred fifty-three million, nine hundred thirteen thousand, six hundred sixty-four".