7638456 has 64 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 2066688.

The previous prime is 7638403. The next prime is 7638473. The reversal of 7638456 is 6548367.

7638456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996 + ... + 4388.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^7638456 is an apocalyptic number.

7638456 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

7638456 is the 1596-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

7638456 is an abundant number, since it is smaller than the sum of its proper divisors (15343944).

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

7638456 is a wasteful number, since it uses less digits than its factorization.

7638456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2424 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 7638456 is about 2763.7756783068. The cubic root of 7638456 is about 196.9405714563.

The spelling of 7638456 in words is "seven million, six hundred thirty-eight thousand, four hundred fifty-six".