4000008 has 16 divisors (see below), whose sum is σ = 10000080. Its totient is φ = 1333328.

The previous prime is 3999971. The next prime is 4000037. The reversal of 4000008 is 8000004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3999957 and 4000002.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83310 + ... + 83357.

It is an arithmetic number, because the mean of its divisors is an integer number (625005).

Almost surely, 2^4000008 is an apocalyptic number.

It is an amenable number.

4000008 is an abundant number, since it is smaller than the sum of its proper divisors (6000072).

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

4000008 is a wasteful number, since it uses less digits than its factorization.

4000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166676 (or 166672 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4000008 is about 2000.0019999990. The cubic root of 4000008 is about 158.7402110235.

It can be divided in two parts, 400000 and 8, that multiplied together give a 5-th power (3200000 = 20⁵).

The spelling of 4000008 in words is "four million, eight", and thus it is an aban number.