951046656 has 160 divisors (see below), whose sum is σ = 2916777600. Its totient is φ = 269746176.

The previous prime is 951046643. The next prime is 951046667. The reversal of 951046656 is 656640159.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 2117920 + ... + 2118368.

It is an arithmetic number, because the mean of its divisors is an integer number (18229860).

Almost surely, 2^951046656 is an apocalyptic number.

951046656 is a gapful number since it is divisible by the number (96) 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 951046656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458388800).

951046656 is an abundant number, since it is smaller than the sum of its proper divisors (1965730944).

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

951046656 is a wasteful number, since it uses less digits than its factorization.

951046656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 951046656 is about 30839.0443431699. The cubic root of 951046656 is about 983.4084619671.

The spelling of 951046656 in words is "nine hundred fifty-one million, forty-six thousand, six hundred fifty-six".