10680400 has 30 divisors (see below), whose sum is σ = 25660622. Its totient is φ = 4272000.

The previous prime is 10680391. The next prime is 10680407. The reversal of 10680400 is 408601.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 10679824 = 24^2 + 3268^2 .

It is a super-2 number, since 2×10680400² = 228141888320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12951 + ... + 13750.

Almost surely, 2^10680400 is an apocalyptic number.

10680400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10680400 is an abundant number, since it is smaller than the sum of its proper divisors (14980222).

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

10680400 is a wasteful number, since it uses less digits than its factorization.

10680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26719 (or 26708 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10680400 is about 3268.0881261068. The cubic root of 10680400 is about 220.2229145519. Note that the first 3 decimals are identical.

The spelling of 10680400 in words is "ten million, six hundred eighty thousand, four hundred".