85791948 has 48 divisors (see below), whose sum is σ = 222518016. Its totient is φ = 25504960.

The previous prime is 85791931. The next prime is 85791961. The reversal of 85791948 is 84919758.

It is a self number, because there is not a number n which added to its sum of digits gives 85791948.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865 + ... + 13127.

It is an arithmetic number, because the mean of its divisors is an integer number (4635792).

Almost surely, 2^85791948 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 85791948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111259008).

85791948 is an abundant number, since it is smaller than the sum of its proper divisors (136726068).

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

85791948 is a wasteful number, since it uses less digits than its factorization.

85791948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12334 (or 12332 counting only the distinct ones).

The product of its digits is 725760, while the sum is 51.

The square root of 85791948 is about 9262.3942908948. The cubic root of 85791948 is about 441.0442620924.

The spelling of 85791948 in words is "eighty-five million, seven hundred ninety-one thousand, nine hundred forty-eight".