10651680 has 144 divisors (see below), whose sum is σ = 39213720. Its totient is φ = 2617344.

The previous prime is 10651679. The next prime is 10651699. The reversal of 10651680 is 8615601.

10651680 is a `hidden beast` number, since 1 + 0 + 651 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4717584 + 5934096 = 2172^2 + 2436^2 .

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

It is a super-2 number, since 2×10651680² = 226916573644800, which contains 22 as substring.

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, 18436 + ... + 19004.

Almost surely, 2^10651680 is an apocalyptic number.

10651680 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 10651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

10651680 is an abundant number, since it is smaller than the sum of its proper divisors (28562040).

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

10651680 is a wasteful number, since it uses less digits than its factorization.

10651680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

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

The square root of 10651680 is about 3263.6911618595. The cubic root of 10651680 is about 220.0253414335.

The spelling of 10651680 in words is "ten million, six hundred fifty-one thousand, six hundred eighty".