10426624 has 54 divisors (see below), whose sum is σ = 22630146. Its totient is φ = 4792320.

The previous prime is 10426601. The next prime is 10426639. The reversal of 10426624 is 42662401.

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 10240000 = 432^2 + 3200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43144 + ... + 43384.

Almost surely, 2^10426624 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 10426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11315073).

10426624 is an abundant number, since it is smaller than the sum of its proper divisors (12203522).

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

10426624 is an equidigital number, since it uses as much as digits as its factorization.

10426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 10426624 is about 3229.0283368221. The cubic root of 10426624 is about 218.4646822777.

It can be divided in two parts, 104 and 26624, that multiplied together give a square (2768896 = 1664²).

The spelling of 10426624 in words is "ten million, four hundred twenty-six thousand, six hundred twenty-four".