4007664 has 40 divisors (see below), whose sum is σ = 11504720. Its totient is φ = 1335744.

The previous prime is 4007659. The next prime is 4007671. The reversal of 4007664 is 4667004.

It is a super-2 number, since 2×4007664² = 32122741473792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4207 + ... + 5070.

It is an arithmetic number, because the mean of its divisors is an integer number (287618).

Almost surely, 2^4007664 is an apocalyptic number.

It is an amenable number.

4007664 is an abundant number, since it is smaller than the sum of its proper divisors (7497056).

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

4007664 is a wasteful number, since it uses less digits than its factorization.

4007664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9294 (or 9282 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4007664 is about 2001.9150831142. The cubic root of 4007664 is about 158.8414225302.

The spelling of 4007664 in words is "four million, seven thousand, six hundred sixty-four".