7894656 has 192 divisors, whose sum is σ = 28641600. Its totient is φ = 2027520.

The previous prime is 7894651. The next prime is 7894657. The reversal of 7894656 is 6564987.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (362880) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7894651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88660 + ... + 88748.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

Almost surely, 2^7894656 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 7894656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320800).

7894656 is an abundant number, since it is smaller than the sum of its proper divisors (20746944).

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

7894656 is a wasteful number, since it uses less digits than its factorization.

7894656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 7894656 is about 2809.7430487502. The cubic root of 7894656 is about 199.1182516454.

It can be divided in two parts, 789 and 4656, that added together give a palindrome (5445).

The spelling of 7894656 in words is "seven million, eight hundred ninety-four thousand, six hundred fifty-six".