79965648 has 120 divisors (see below), whose sum is σ = 261144000. Its totient is φ = 22833216.

The previous prime is 79965643. The next prime is 79965653. The reversal of 79965648 is 84656997.

79965648 is a `hidden beast` number, since 79 + 9 + 6 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (79965643) and next prime (79965653).

It is a super-3 number, since 3×79965648³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79965594 and 79965603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79965643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48583 + ... + 50201.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 2^79965648 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 79965648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130572000).

79965648 is an abundant number, since it is smaller than the sum of its proper divisors (181178352).

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

79965648 is a wasteful number, since it uses less digits than its factorization.

79965648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1631 counting only the distinct ones).

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

The square root of 79965648 is about 8942.3513686278. The cubic root of 79965648 is about 430.8252548929.

The spelling of 79965648 in words is "seventy-nine million, nine hundred sixty-five thousand, six hundred forty-eight".