10065040 has 20 divisors (see below), whose sum is σ = 23401404. Its totient is φ = 4025984.

The previous prime is 10065019. The next prime is 10065043. The reversal of 10065040 is 4056001.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 8737936 = 1152^2 + 2956^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10065043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62827 + ... + 62986.

Almost surely, 2^10065040 is an apocalyptic number.

10065040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10065040 is an abundant number, since it is smaller than the sum of its proper divisors (13336364).

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

10065040 is a wasteful number, since it uses less digits than its factorization.

10065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125826 (or 125820 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10065040 is about 3172.5447199370. The cubic root of 10065040 is about 215.9095414546.

The spelling of 10065040 in words is "ten million, sixty-five thousand, forty".