8072054406 has 32 divisors (see below), whose sum is σ = 19317738720. Its totient is φ = 2483708832.

The previous prime is 8072054399. The next prime is 8072054413. The reversal of 8072054406 is 6044502708.

8072054406 is a `hidden beast` number, since 8 + 0 + 7 + 205 + 440 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (8072054399) and next prime (8072054413).

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, 5748625 + ... + 5750028.

It is an arithmetic number, because the mean of its divisors is an integer number (603679335).

Almost surely, 2^8072054406 is an apocalyptic number.

8072054406 is an abundant number, since it is smaller than the sum of its proper divisors (11245684314).

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

8072054406 is a wasteful number, since it uses less digits than its factorization.

8072054406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11498677 (or 11498671 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 8072054406 is about 89844.6125596855. The cubic root of 8072054406 is about 2005.9865962862.

The spelling of 8072054406 in words is "eight billion, seventy-two million, fifty-four thousand, four hundred six".