10557640 has 16 divisors (see below), whose sum is σ = 23754780. Its totient is φ = 4223040.

The previous prime is 10557619. The next prime is 10557641. The reversal of 10557640 is 4675501.

It can be written as a sum of positive squares in 2 ways, for example, as 10150596 + 407044 = 3186^2 + 638^2 .

It is a super-2 number, since 2×10557640² = 222927524739200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10557599 and 10557608.

It is not an unprimeable number, because it can be changed into a prime (10557641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131931 + ... + 132010.

Almost surely, 2^10557640 is an apocalyptic number.

10557640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10557640 is an abundant number, since it is smaller than the sum of its proper divisors (13197140).

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

10557640 is a wasteful number, since it uses less digits than its factorization.

10557640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263952 (or 263948 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 10557640 is about 3249.2522216658. The cubic root of 10557640 is about 219.3759172642.

The spelling of 10557640 in words is "ten million, five hundred fifty-seven thousand, six hundred forty".