85074792 has 64 divisors (see below), whose sum is σ = 242127360. Its totient is φ = 24657600.

The previous prime is 85074739. The next prime is 85074797. The reversal of 85074792 is 29747058.

It is not an unprimeable number, because it can be changed into a prime (85074797) 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, 934 + ... + 13077.

It is an arithmetic number, because the mean of its divisors is an integer number (3783240).

Almost surely, 2^85074792 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 85074792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121063680).

85074792 is an abundant number, since it is smaller than the sum of its proper divisors (157052568).

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

85074792 is a wasteful number, since it uses less digits than its factorization.

85074792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14054 (or 14050 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 85074792 is about 9223.5997311245. The cubic root of 85074792 is about 439.8118892865.

The spelling of 85074792 in words is "eighty-five million, seventy-four thousand, seven hundred ninety-two".