85654968 has 128 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 23425920.

The previous prime is 85654957. The next prime is 85654981. The reversal of 85654968 is 86945658.

It is a self number, because there is not a number n which added to its sum of digits gives 85654968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512821 + ... + 512987.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2^85654968 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 85654968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

85654968 is an abundant number, since it is smaller than the sum of its proper divisors (169812552).

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

85654968 is a wasteful number, since it uses less digits than its factorization.

85654968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 85654968 is about 9254.9969205830. The cubic root of 85654968 is about 440.8094054556.

The spelling of 85654968 in words is "eighty-five million, six hundred fifty-four thousand, nine hundred sixty-eight".