10680624 has 60 divisors (see below), whose sum is σ = 31656456. Its totient is φ = 3350016.

The previous prime is 10680619. The next prime is 10680643. The reversal of 10680624 is 42608601.

It is a super-2 number, since 2×10680624² = 228151458058752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267 + ... + 4629.

Almost surely, 2^10680624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10680624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15828228).

10680624 is an abundant number, since it is smaller than the sum of its proper divisors (20975832).

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

10680624 is a wasteful number, since it uses less digits than its factorization.

10680624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10680624 is about 3268.1223967287. The cubic root of 10680624 is about 220.2244541193.

The spelling of 10680624 in words is "ten million, six hundred eighty thousand, six hundred twenty-four".