10680480 has 72 divisors (see below), whose sum is σ = 36452052. Its totient is φ = 2847744.

The previous prime is 10680473. The next prime is 10680503. The reversal of 10680480 is 8408601.

10680480 is a `hidden beast` number, since 106 + 80 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10575504 + 104976 = 3252^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10680480² = 228145306060800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2269 + ... + 5148.

Almost surely, 2^10680480 is an apocalyptic number.

10680480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10680480 is an abundant number, since it is smaller than the sum of its proper divisors (25771572).

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

10680480 is a wasteful number, since it uses less digits than its factorization.

10680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7438 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10680480 is about 3268.1003656559. The cubic root of 10680480 is about 220.2234643998.

The spelling of 10680480 in words is "ten million, six hundred eighty thousand, four hundred eighty".