1007640801 has 12 divisors (see below), whose sum is σ = 1489330128. Its totient is φ = 656137944.

The previous prime is 1007640793. The next prime is 1007640811. The reversal of 1007640801 is 1080467001.

It is a happy number.

1007640801 is a `hidden beast` number, since 10 + 0 + 7 + 640 + 8 + 0 + 1 = 666.

It is not a de Polignac number, because 1007640801 - 2³ = 1007640793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007640811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1301475 + ... + 1302248.

It is an arithmetic number, because the mean of its divisors is an integer number (124110844).

Almost surely, 2^1007640801 is an apocalyptic number.

It is an amenable number.

1007640801 is a deficient number, since it is larger than the sum of its proper divisors (481689327).

1007640801 is a wasteful number, since it uses less digits than its factorization.

1007640801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603772 (or 2603769 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1007640801 is about 31743.3583762021. The cubic root of 1007640801 is about 1002.5404741921.

The spelling of 1007640801 in words is "one billion, seven million, six hundred forty thousand, eight hundred one".