10165680 has 120 divisors (see below), whose sum is σ = 39036192. Its totient is φ = 2322432.

The previous prime is 10165637. The next prime is 10165681. The reversal of 10165680 is 8656101.

10165680 is a `hidden beast` number, since 1 + 0 + 1 + 656 + 8 + 0 = 666.

10165680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10165681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4032 + ... + 6048.

It is a vampire number, since it can be written as 1680 ⋅ 6051 (with its own digits).

Almost surely, 2^10165680 is an apocalyptic number.

10165680 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 10165680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518096).

10165680 is an abundant number, since it is smaller than the sum of its proper divisors (28870512).

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

10165680 is a wasteful number, since it uses less digits than its factorization.

10165680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10165680 is about 3188.3663528522. The cubic root of 10165680 is about 216.6267802974.

The spelling of 10165680 in words is "ten million, one hundred sixty-five thousand, six hundred eighty".