85973706 has 96 divisors (see below), whose sum is σ = 232727040. Its totient is φ = 22332672.

The previous prime is 85973683. The next prime is 85973711. The reversal of 85973706 is 60737958.

85973706 = 293² + 294² + ... + 656².

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119215 + ... + 119933.

It is an arithmetic number, because the mean of its divisors is an integer number (2424240).

Almost surely, 2^85973706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85973706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

85973706 is an abundant number, since it is smaller than the sum of its proper divisors (146753334).

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

85973706 is a wasteful number, since it uses less digits than its factorization.

85973706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 85973706 is about 9272.2007096482. The cubic root of 85973706 is about 441.3555064470.

The spelling of 85973706 in words is "eighty-five million, nine hundred seventy-three thousand, seven hundred six".