10807240 has 64 divisors (see below), whose sum is σ = 26904960. Its totient is φ = 3886080.

The previous prime is 10807229. The next prime is 10807259. The reversal of 10807240 is 4270801.

10807240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 15295 + ... + 15985.

It is an arithmetic number, because the mean of its divisors is an integer number (420390).

Almost surely, 2^10807240 is an apocalyptic number.

10807240 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 10807240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13452480).

10807240 is an abundant number, since it is smaller than the sum of its proper divisors (16097720).

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

10807240 is a wasteful number, since it uses less digits than its factorization.

10807240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 10807240 is about 3287.4366914056. The cubic root of 10807240 is about 221.0912721965.

The spelling of 10807240 in words is "ten million, eight hundred seven thousand, two hundred forty".