7638624 has 120 divisors (see below), whose sum is σ = 25735248. Its totient is φ = 2177280.

The previous prime is 7638619. The next prime is 7638641. The reversal of 7638624 is 4268367.

It is a super-2 number, since 2×7638624² = 116697153226752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 an Ulam number.

It is a d-powerful number, because it can be written as 7⁸ + 6² + 3¹¹ + 8³ + 6⁸ + 2⁷ + 4⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17934 + ... + 18354.

Almost surely, 2^7638624 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 7638624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12867624).

7638624 is an abundant number, since it is smaller than the sum of its proper divisors (18096624).

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

7638624 is a wasteful number, since it uses less digits than its factorization.

7638624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 433 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 7638624 is about 2763.8060713444. The cubic root of 7638624 is about 196.9420152810.

The spelling of 7638624 in words is "seven million, six hundred thirty-eight thousand, six hundred twenty-four".