10638456 has 64 divisors (see below), whose sum is σ = 27955200. Its totient is φ = 3369600.

The previous prime is 10638421. The next prime is 10638457. The reversal of 10638456 is 65483601.

It is a super-2 number, since 2×10638456² = 226353492127872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58686 + ... + 58866.

It is an arithmetic number, because the mean of its divisors is an integer number (436800).

Almost surely, 2^10638456 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 10638456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977600).

10638456 is an abundant number, since it is smaller than the sum of its proper divisors (17316744).

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

10638456 is a wasteful number, since it uses less digits than its factorization.

10638456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 10638456 is about 3261.6646056883. The cubic root of 10638456 is about 219.9342503243.

The spelling of 10638456 in words is "ten million, six hundred thirty-eight thousand, four hundred fifty-six".