1007064896 has 28 divisors (see below), whose sum is σ = 2022482112. Its totient is φ = 497463168.

The previous prime is 1007064871. The next prime is 1007064901. The reversal of 1007064896 is 6984607001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89480 + ... + 100103.

It is an arithmetic number, because the mean of its divisors is an integer number (72231504).

Almost surely, 2^1007064896 is an apocalyptic number.

1007064896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1007064896 is an abundant number, since it is smaller than the sum of its proper divisors (1015417216).

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

1007064896 is an equidigital number, since it uses as much as digits as its factorization.

1007064896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189678 (or 189668 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 1007064896 is about 31734.2858120362. The cubic root of 1007064896 is about 1002.3494411368.

The spelling of 1007064896 in words is "one billion, seven million, sixty-four thousand, eight hundred ninety-six".