1015882656 has 96 divisors (see below), whose sum is σ = 2764093248. Its totient is φ = 326430720.

The previous prime is 1015882639. The next prime is 1015882661. The reversal of 1015882656 is 6562885101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1015882656² = 2064035141523228672, 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 15 ways as a sum of consecutive naturals, for example, 400111 + ... + 402641.

It is an arithmetic number, because the mean of its divisors is an integer number (28792638).

Almost surely, 2^1015882656 is an apocalyptic number.

1015882656 is a gapful number since it is divisible by the number (16) 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 1015882656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382046624).

1015882656 is an abundant number, since it is smaller than the sum of its proper divisors (1748210592).

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

1015882656 is a wasteful number, since it uses less digits than its factorization.

1015882656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 1015882656 is about 31872.9141435169. The cubic root of 1015882656 is about 1005.2664346440.

The spelling of 1015882656 in words is "one billion, fifteen million, eight hundred eighty-two thousand, six hundred fifty-six".