4290624 has 112 divisors (see below), whose sum is σ = 13655040. Its totient is φ = 1313280.

The previous prime is 4290553. The next prime is 4290641. The reversal of 4290624 is 4260924.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22369 + ... + 22559.

It is an arithmetic number, because the mean of its divisors is an integer number (121920).

Almost surely, 2^4290624 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 4290624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827520).

4290624 is an abundant number, since it is smaller than the sum of its proper divisors (9364416).

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

4290624 is a wasteful number, since it uses less digits than its factorization.

4290624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4290624 is about 2071.3821472630. The cubic root of 4290624 is about 162.4950562599.

The spelling of 4290624 in words is "four million, two hundred ninety thousand, six hundred twenty-four".