85792668 has 48 divisors (see below), whose sum is σ = 224964096. Its totient is φ = 25248960.

The previous prime is 85792649. The next prime is 85792669. The reversal of 85792668 is 86629758.

It is a self number, because there is not a number n which added to its sum of digits gives 85792668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85792669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8368 + ... + 15543.

It is an arithmetic number, because the mean of its divisors is an integer number (4686752).

Almost surely, 2^85792668 is an apocalyptic number.

It is an amenable number.

85792668 is an abundant number, since it is smaller than the sum of its proper divisors (139171428).

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

85792668 is a wasteful number, since it uses less digits than its factorization.

85792668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23954 (or 23952 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 85792668 is about 9262.4331576536. The cubic root of 85792668 is about 441.0454958950.

The spelling of 85792668 in words is "eighty-five million, seven hundred ninety-two thousand, six hundred sixty-eight".