10291680 has 144 divisors (see below), whose sum is σ = 40176864. Its totient is φ = 2350080.

The previous prime is 10291651. The next prime is 10291691. The reversal of 10291680 is 8619201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 9570 + ... + 10590.

It is an arithmetic number, because the mean of its divisors is an integer number (279006).

Almost surely, 2^10291680 is an apocalyptic number.

10291680 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 10291680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088432).

10291680 is an abundant number, since it is smaller than the sum of its proper divisors (29885184).

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

10291680 is a wasteful number, since it uses less digits than its factorization.

10291680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10291680 is about 3208.0648372500. The cubic root of 10291680 is about 217.5181118488.

The spelling of 10291680 in words is "ten million, two hundred ninety-one thousand, six hundred eighty".