7642656 has 144 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 2045952.

The previous prime is 7642627. The next prime is 7642669. The reversal of 7642656 is 6562467.

7642656 is a `hidden beast` number, since 7 + 642 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (60480) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 7642656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34161 + ... + 34383.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^7642656 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 7642656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

7642656 is an abundant number, since it is smaller than the sum of its proper divisors (18775008).

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

7642656 is a wasteful number, since it uses less digits than its factorization.

7642656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 7642656 is about 2764.5354040055. The cubic root of 7642656 is about 196.9766607237.

The spelling of 7642656 in words is "seven million, six hundred forty-two thousand, six hundred fifty-six".