951906816 has 240 divisors, whose sum is σ = 3258999744. Its totient is φ = 271724544.

The previous prime is 951906793. The next prime is 951906841. The reversal of 951906816 is 618609159.

It is a super-2 number, since 2×951906816² = 1812253172694515712, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 870366 + ... + 871458.

Almost surely, 2^951906816 is an apocalyptic number.

951906816 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 951906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629499872).

951906816 is an abundant number, since it is smaller than the sum of its proper divisors (2307092928).

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

951906816 is an equidigital number, since it uses as much as digits as its factorization.

951906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 951906816 is about 30852.9871487349. The cubic root of 951906816 is about 983.7048490154.

The spelling of 951906816 in words is "nine hundred fifty-one million, nine hundred six thousand, eight hundred sixteen".