10801680 has 40 divisors (see below), whose sum is σ = 33485952. Its totient is φ = 2880384.

The previous prime is 10801667. The next prime is 10801699. The reversal of 10801680 is 8610801.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10801680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22264 + ... + 22743.

Almost surely, 2^10801680 is an apocalyptic number.

10801680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10801680 is an abundant number, since it is smaller than the sum of its proper divisors (22684272).

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

10801680 is a wasteful number, since it uses less digits than its factorization.

10801680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45023 (or 45017 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 10801680 is about 3286.5909389518. The cubic root of 10801680 is about 221.0533507555.

The spelling of 10801680 in words is "ten million, eight hundred one thousand, six hundred eighty".