10885680 has 120 divisors (see below), whose sum is σ = 39403728. Its totient is φ = 2677248.

The previous prime is 10885673. The next prime is 10885697. The reversal of 10885680 is 8658801.

10885680 is a `hidden beast` number, since 10 + 88 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8779 + ... + 9941.

Almost surely, 2^10885680 is an apocalyptic number.

10885680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10885680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19701864).

10885680 is an abundant number, since it is smaller than the sum of its proper divisors (28518048).

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

10885680 is a wasteful number, since it uses less digits than its factorization.

10885680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 10885680 is about 3299.3453896190. The cubic root of 10885680 is about 221.6248839282.

The spelling of 10885680 in words is "ten million, eight hundred eighty-five thousand, six hundred eighty".