4992624 has 160 divisors (see below), whose sum is σ = 17776640. Its totient is φ = 1306368.

The previous prime is 4992623. The next prime is 4992629. The reversal of 4992624 is 4262994.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39249 + ... + 39375.

It is an arithmetic number, because the mean of its divisors is an integer number (111104).

Almost surely, 2^4992624 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 4992624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8888320).

4992624 is an abundant number, since it is smaller than the sum of its proper divisors (12784016).

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

4992624 is a wasteful number, since it uses less digits than its factorization.

4992624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 4992624 is about 2234.4180450399. The cubic root of 4992624 is about 170.9134680690.

The spelling of 4992624 in words is "four million, nine hundred ninety-two thousand, six hundred twenty-four".