10624878 has 64 divisors (see below), whose sum is σ = 26634240. Its totient is φ = 3110400.

The previous prime is 10624877. The next prime is 10624921. The reversal of 10624878 is 87842601.

It is a super-2 number, since 2×10624878² = 225776065029768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10624877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18126 + ... + 18702.

It is an arithmetic number, because the mean of its divisors is an integer number (416160).

Almost surely, 2^10624878 is an apocalyptic number.

10624878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10624878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317120).

10624878 is an abundant number, since it is smaller than the sum of its proper divisors (16009362).

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

10624878 is a wasteful number, since it uses less digits than its factorization.

10624878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10624878 is about 3259.5824886019. The cubic root of 10624878 is about 219.8406421722.

The spelling of 10624878 in words is "ten million, six hundred twenty-four thousand, eight hundred seventy-eight".