1007642160 has 160 divisors (see below), whose sum is σ = 3966650880. Its totient is φ = 230314752.

The previous prime is 1007642147. The next prime is 1007642221. The reversal of 1007642160 is 612467001.

1007642160 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 642 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18202 + ... + 48441.

It is an arithmetic number, because the mean of its divisors is an integer number (24791568).

Almost surely, 2^1007642160 is an apocalyptic number.

1007642160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007642160 is an abundant number, since it is smaller than the sum of its proper divisors (2959008720).

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

1007642160 is a wasteful number, since it uses less digits than its factorization.

1007642160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66672 (or 66660 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1007642160 is about 31743.3797822475. The cubic root of 1007642160 is about 1002.5409248990.

The spelling of 1007642160 in words is "one billion, seven million, six hundred forty-two thousand, one hundred sixty".