1007949564 has 36 divisors (see below), whose sum is σ = 2576508480. Its totient is φ = 332207040.

The previous prime is 1007949521. The next prime is 1007949571. The reversal of 1007949564 is 4659497001.

1007949564 is a `hidden beast` number, since 10 + 0 + 79 + 4 + 9 + 564 = 666.

1007949564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154092 + ... + 160499.

It is an arithmetic number, because the mean of its divisors is an integer number (71569680).

Almost surely, 2^1007949564 is an apocalyptic number.

It is an amenable number.

1007949564 is an abundant number, since it is smaller than the sum of its proper divisors (1568558916).

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

1007949564 is a wasteful number, since it uses less digits than its factorization.

1007949564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314690 (or 314685 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1007949564 is about 31748.2214304991. The cubic root of 1007949564 is about 1002.6428637845.

The spelling of 1007949564 in words is "one billion, seven million, nine hundred forty-nine thousand, five hundred sixty-four".