1013347664 has 80 divisors (see below), whose sum is σ = 2306185728. Its totient is φ = 422395776.

The previous prime is 1013347649. The next prime is 1013347703. The reversal of 1013347664 is 4667433101.

1013347664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622019 + ... + 623645.

Almost surely, 2^1013347664 is an apocalyptic number.

1013347664 is a gapful number since it is divisible by the number (14) 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 1013347664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153092864).

1013347664 is an abundant number, since it is smaller than the sum of its proper divisors (1292838064).

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

1013347664 is a wasteful number, since it uses less digits than its factorization.

1013347664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 1013347664 is about 31833.1221214634. The cubic root of 1013347664 is about 1004.4295712608.

The spelling of 1013347664 in words is "one billion, thirteen million, three hundred forty-seven thousand, six hundred sixty-four".