7638864 has 40 divisors (see below), whose sum is σ = 20198112. Its totient is φ = 2486400.

The previous prime is 7638859. The next prime is 7638877. The reversal of 7638864 is 4688367.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 3914.

Almost surely, 2^7638864 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 7638864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099056).

7638864 is an abundant number, since it is smaller than the sum of its proper divisors (12559248).

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

7638864 is a wasteful number, since it uses less digits than its factorization.

7638864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3749 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 7638864 is about 2763.8494893898. The cubic root of 7638864 is about 196.9440778509.

The spelling of 7638864 in words is "seven million, six hundred thirty-eight thousand, eight hundred sixty-four".