7638912 has 96 divisors (see below), whose sum is σ = 23205000. Its totient is φ = 2405376.

The previous prime is 7638901. The next prime is 7638929. The reversal of 7638912 is 2198367.

7638912 is a `hidden beast` number, since 7 + 638 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21714 + ... + 22062.

Almost surely, 2^7638912 is an apocalyptic number.

7638912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11602500).

7638912 is an abundant number, since it is smaller than the sum of its proper divisors (15566088).

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

7638912 is a wasteful number, since it uses less digits than its factorization.

7638912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7638912 is about 2763.8581729170. The cubic root of 7638912 is about 196.9444903597.

The spelling of 7638912 in words is "seven million, six hundred thirty-eight thousand, nine hundred twelve".