10629680 has 80 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 3953664.

The previous prime is 10629679. The next prime is 10629691. The reversal of 10629680 is 8692601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10629680² = 225980193804800, which contains 22 as substring.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97466 + ... + 97574.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 2^10629680 is an apocalyptic number.

10629680 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 10629680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

10629680 is an abundant number, since it is smaller than the sum of its proper divisors (15886480).

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

10629680 is a wasteful number, since it uses less digits than its factorization.

10629680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 10629680 is about 3260.3190027971. The cubic root of 10629680 is about 219.8737567724.

The spelling of 10629680 in words is "ten million, six hundred twenty-nine thousand, six hundred eighty".