1008085264 has 20 divisors (see below), whose sum is σ = 1980676800. Its totient is φ = 496942880.

The previous prime is 1008085259. The next prime is 1008085279. The reversal of 1008085264 is 4625808001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 442564 + ... + 444835.

It is an arithmetic number, because the mean of its divisors is an integer number (99033840).

Almost surely, 2^1008085264 is an apocalyptic number.

It is an amenable number.

1008085264 is a deficient number, since it is larger than the sum of its proper divisors (972591536).

1008085264 is an equidigital number, since it uses as much as digits as its factorization.

1008085264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887478 (or 887472 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1008085264 is about 31750.3584861652. The cubic root of 1008085264 is about 1002.6878569521.

The spelling of 1008085264 in words is "one billion, eight million, eighty-five thousand, two hundred sixty-four".