10640657 has 16 divisors (see below), whose sum is σ = 11856384. Its totient is φ = 9504000.

The previous prime is 10640647. The next prime is 10640671. The reversal of 10640657 is 75604601.

It is a cyclic number.

It is not a de Polignac number, because 10640657 - 2¹⁰ = 10639633 is a prime.

It is a super-2 number, since 2×10640657² = 226447162783298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10640647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31982 + ... + 32312.

It is an arithmetic number, because the mean of its divisors is an integer number (741024).

Almost surely, 2^10640657 is an apocalyptic number.

10640657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10640657 is a deficient number, since it is larger than the sum of its proper divisors (1215727).

10640657 is a wasteful number, since it uses less digits than its factorization.

10640657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 10640657 is about 3262.0019926419. The cubic root of 10640657 is about 219.9494167452.

The spelling of 10640657 in words is "ten million, six hundred forty thousand, six hundred fifty-seven".