1006734564 has 72 divisors (see below), whose sum is σ = 2896875072. Its totient is φ = 291804480.

The previous prime is 1006734557. The next prime is 1006734571. The reversal of 1006734564 is 4654376001.

It is a happy number.

1006734564 is a `hidden beast` number, since 1 + 0 + 0 + 67 + 34 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (1006734557) and next prime (1006734571).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46159 + ... + 64374.

It is an arithmetic number, because the mean of its divisors is an integer number (40234376).

Almost surely, 2^1006734564 is an apocalyptic number.

It is an amenable number.

1006734564 is an abundant number, since it is smaller than the sum of its proper divisors (1890140508).

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

1006734564 is a wasteful number, since it uses less digits than its factorization.

1006734564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110577 (or 110572 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1006734564 is about 31729.0807304592. The cubic root of 1006734564 is about 1002.2398340644.

The spelling of 1006734564 in words is "one billion, six million, seven hundred thirty-four thousand, five hundred sixty-four".