86524416 has 160 divisors (see below), whose sum is σ = 279892800. Its totient is φ = 26173440.

The previous prime is 86524411. The next prime is 86524421. The reversal of 86524416 is 61442568.

It is an interprime number because it is at equal distance from previous prime (86524411) and next prime (86524421).

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

It is not an unprimeable number, because it can be changed into a prime (86524411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151780 + ... + 152348.

It is an arithmetic number, because the mean of its divisors is an integer number (1749330).

Almost surely, 2^86524416 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 86524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139946400).

86524416 is an abundant number, since it is smaller than the sum of its proper divisors (193368384).

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

86524416 is a wasteful number, since it uses less digits than its factorization.

86524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 585 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 86524416 is about 9301.8501385477. The cubic root of 86524416 is about 442.2958782765.

It can be divided in two parts, 865 and 24416, that added together give a square (25281 = 159²).

The spelling of 86524416 in words is "eighty-six million, five hundred twenty-four thousand, four hundred sixteen".