1008964160 has 56 divisors (see below), whose sum is σ = 2405359680. Its totient is φ = 403121664.

The previous prime is 1008964157. The next prime is 1008964193. The reversal of 1008964160 is 614698001.

It is a self number, because there is not a number n which added to its sum of digits gives 1008964160.

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 7 ways as a sum of consecutive naturals, for example, 461951 + ... + 464129.

Almost surely, 2^1008964160 is an apocalyptic number.

1008964160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008964160 is an abundant number, since it is smaller than the sum of its proper divisors (1396395520).

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

1008964160 is a wasteful number, since it uses less digits than its factorization.

1008964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1008964160 is about 31764.1961963466. The cubic root of 1008964160 is about 1002.9791690712.

The spelling of 1008964160 in words is "one billion, eight million, nine hundred sixty-four thousand, one hundred sixty".