7138656 has 72 divisors (see below), whose sum is σ = 23207184. Its totient is φ = 2039040.

The previous prime is 7138643. The next prime is 7138673. The reversal of 7138656 is 6568317.

7138656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 self number, because there is not a number n which added to its sum of digits gives 7138656.

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, 246 + ... + 3786.

It is an arithmetic number, because the mean of its divisors is an integer number (322322).

Almost surely, 2^7138656 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 7138656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603592).

7138656 is an abundant number, since it is smaller than the sum of its proper divisors (16068528).

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

7138656 is a wasteful number, since it uses less digits than its factorization.

7138656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3553 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 7138656 is about 2671.8263416622. The cubic root of 7138656 is about 192.5479140864.

The spelling of 7138656 in words is "seven million, one hundred thirty-eight thousand, six hundred fifty-six".