85679616 has 120 divisors (see below), whose sum is σ = 251437032. Its totient is φ = 25907200.

The previous prime is 85679611. The next prime is 85679639. The reversal of 85679616 is 61697658.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (544320) is a multiple of the sum of its prime factors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85679611) 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 11 ways as a sum of consecutive naturals, for example, 185626 + ... + 186086.

Almost surely, 2^85679616 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 85679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125718516).

85679616 is an abundant number, since it is smaller than the sum of its proper divisors (165757416).

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

85679616 is a wasteful number, since it uses less digits than its factorization.

85679616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 477 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 85679616 is about 9256.3284297825. The cubic root of 85679616 is about 440.8516837125.

The spelling of 85679616 in words is "eighty-five million, six hundred seventy-nine thousand, six hundred sixteen".