85911552 has 144 divisors (see below), whose sum is σ = 255528000. Its totient is φ = 27795456.

The previous prime is 85911547. The next prime is 85911577. The reversal of 85911552 is 25511958.

It is a happy number.

85911552 is a `hidden beast` number, since 8 + 591 + 15 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1087449 + ... + 1087527.

It is an arithmetic number, because the mean of its divisors is an integer number (1774500).

Almost surely, 2^85911552 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 85911552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764000).

85911552 is an abundant number, since it is smaller than the sum of its proper divisors (169616448).

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

85911552 is a wasteful number, since it uses less digits than its factorization.

85911552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The square root of 85911552 is about 9268.8484721674. The cubic root of 85911552 is about 441.2491226673.

The spelling of 85911552 in words is "eighty-five million, nine hundred eleven thousand, five hundred fifty-two".