1007165070 has 64 divisors (see below), whose sum is σ = 2778408000. Its totient is φ = 259314048.

The previous prime is 1007165063. The next prime is 1007165087. The reversal of 1007165070 is 705617001.

1007165070 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 1 + 650 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56485 + ... + 72144.

It is an arithmetic number, because the mean of its divisors is an integer number (43412625).

Almost surely, 2^1007165070 is an apocalyptic number.

1007165070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1007165070 is an abundant number, since it is smaller than the sum of its proper divisors (1771242930).

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

1007165070 is a wasteful number, since it uses less digits than its factorization.

1007165070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128674 (or 128668 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 1007165070 is about 31735.8640972638. The cubic root of 1007165070 is about 1002.3826750175.

The spelling of 1007165070 in words is "one billion, seven million, one hundred sixty-five thousand, seventy".