4005624 has 64 divisors (see below), whose sum is σ = 11600640. Its totient is φ = 1128960.

The previous prime is 4005619. The next prime is 4005643. The reversal of 4005624 is 4265004.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4005624.

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, 18879 + ... + 19089.

It is an arithmetic number, because the mean of its divisors is an integer number (181260).

Almost surely, 2^4005624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800320).

4005624 is an abundant number, since it is smaller than the sum of its proper divisors (7595016).

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

4005624 is a wasteful number, since it uses less digits than its factorization.

4005624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4005624 is about 2001.4055061381. The cubic root of 4005624 is about 158.8144665530.

The spelling of 4005624 in words is "four million, five thousand, six hundred twenty-four".