10678624 has 48 divisors (see below), whose sum is σ = 23950080. Its totient is φ = 4639360.

The previous prime is 10678609. The next prime is 10678631. The reversal of 10678624 is 42687601.

It is a super-2 number, since 2×10678624² = 228066021066752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10678624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7437 + ... + 8755.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 2^10678624 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 10678624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975040).

10678624 is an abundant number, since it is smaller than the sum of its proper divisors (13271456).

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

10678624 is a wasteful number, since it uses less digits than its factorization.

10678624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 10678624 is about 3267.8163963112. The cubic root of 10678624 is about 220.2107072195.

The spelling of 10678624 in words is "ten million, six hundred seventy-eight thousand, six hundred twenty-four".