85936464 has 180 divisors, whose sum is σ = 268920288. Its totient is φ = 26516160.

The previous prime is 85936463. The next prime is 85936493. The reversal of 85936464 is 46463958.

Its product of digits (622080) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85936463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2772129 + ... + 2772159.

Almost surely, 2^85936464 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 85936464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134460144).

85936464 is an abundant number, since it is smaller than the sum of its proper divisors (182983824).

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

85936464 is a wasteful number, since it uses less digits than its factorization.

85936464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 85936464 is about 9270.1922310166. The cubic root of 85936464 is about 441.2917686040.

The spelling of 85936464 in words is "eighty-five million, nine hundred thirty-six thousand, four hundred sixty-four".