85933152 has 72 divisors (see below), whose sum is σ = 255016944. Its totient is φ = 27396864.

The previous prime is 85933121. The next prime is 85933157. The reversal of 85933152 is 25133958.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×85933152² = 14769013225310208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85933157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138 + ... + 13110.

It is an arithmetic number, because the mean of its divisors is an integer number (3541902).

Almost surely, 2^85933152 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 85933152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127508472).

85933152 is an abundant number, since it is smaller than the sum of its proper divisors (169083792).

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

85933152 is a wasteful number, since it uses less digits than its factorization.

85933152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13012 (or 13001 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 85933152 is about 9270.0135922230. The cubic root of 85933152 is about 441.2860993880.

The spelling of 85933152 in words is "eighty-five million, nine hundred thirty-three thousand, one hundred fifty-two".