10407720 has 64 divisors (see below), whose sum is σ = 31965120. Its totient is φ = 2709504.

The previous prime is 10407679. The next prime is 10407737. The reversal of 10407720 is 2770401.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4152 + ... + 6168.

It is an arithmetic number, because the mean of its divisors is an integer number (499455).

Almost surely, 2^10407720 is an apocalyptic number.

10407720 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 10407720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982560).

10407720 is an abundant number, since it is smaller than the sum of its proper divisors (21557400).

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

10407720 is a wasteful number, since it uses less digits than its factorization.

10407720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 10407720 is about 3226.0998124671. The cubic root of 10407720 is about 218.3325732092.

The spelling of 10407720 in words is "ten million, four hundred seven thousand, seven hundred twenty".