85932744 has 64 divisors (see below), whose sum is σ = 233472000. Its totient is φ = 26256960.

The previous prime is 85932727. The next prime is 85932757. The reversal of 85932744 is 44723958.

It is a junction number, because it is equal to n+sod(n) for n = 85932696 and 85932705.

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, 11097 + ... + 17175.

It is an arithmetic number, because the mean of its divisors is an integer number (3648000).

Almost surely, 2^85932744 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 85932744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116736000).

85932744 is an abundant number, since it is smaller than the sum of its proper divisors (147539256).

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

85932744 is a wasteful number, since it uses less digits than its factorization.

85932744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138 (or 6134 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 85932744 is about 9269.9915857567. The cubic root of 85932744 is about 441.2854009963.

The spelling of 85932744 in words is "eighty-five million, nine hundred thirty-two thousand, seven hundred forty-four".