10842624 has 120 divisors (see below), whose sum is σ = 33885852. Its totient is φ = 3317760.

The previous prime is 10842619. The next prime is 10842647. The reversal of 10842624 is 42624801.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 2822400 = 2832^2 + 1680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59814 + ... + 59994.

Almost surely, 2^10842624 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 10842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16942926).

10842624 is an abundant number, since it is smaller than the sum of its proper divisors (23043228).

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

10842624 is a wasteful number, since it uses less digits than its factorization.

10842624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10842624 is about 3292.8139941394. The cubic root of 10842624 is about 221.3323010871.

The spelling of 10842624 in words is "ten million, eight hundred forty-two thousand, six hundred twenty-four".