10408920 has 64 divisors (see below), whose sum is σ = 31518720. Its totient is φ = 2749824.

The previous prime is 10408907. The next prime is 10408933. The reversal of 10408920 is 2980401.

It is an interprime number because it is at equal distance from previous prime (10408907) and next prime (10408933).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14899 + ... + 15581.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 2^10408920 is an apocalyptic number.

10408920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10408920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360).

10408920 is an abundant number, since it is smaller than the sum of its proper divisors (21109800).

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

10408920 is a wasteful number, since it uses less digits than its factorization.

10408920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10408920 is about 3226.2857901928. The cubic root of 10408920 is about 218.3409640646.

The spelling of 10408920 in words is "ten million, four hundred eight thousand, nine hundred twenty".