79649568 has 72 divisors (see below), whose sum is σ = 234915408. Its totient is φ = 26547264.

The previous prime is 79649561. The next prime is 79649599. The reversal of 79649568 is 86594697.

79649568 is a `hidden beast` number, since 7 + 96 + 495 + 68 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (79649561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2655 + ... + 12897.

It is an arithmetic number, because the mean of its divisors is an integer number (3262714).

Almost surely, 2^79649568 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 79649568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117457704).

79649568 is an abundant number, since it is smaller than the sum of its proper divisors (155265840).

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

79649568 is a wasteful number, since it uses less digits than its factorization.

79649568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10268 (or 10248 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 79649568 is about 8924.6606658181. The cubic root of 79649568 is about 430.2568647368.

The spelling of 79649568 in words is "seventy-nine million, six hundred forty-nine thousand, five hundred sixty-eight".