86745824 has 48 divisors (see below), whose sum is σ = 187182576. Its totient is φ = 39244800.

The previous prime is 86745821. The next prime is 86745847. The reversal of 86745824 is 42854768.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86745821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98474 + ... + 99350.

It is an arithmetic number, because the mean of its divisors is an integer number (3899637).

Almost surely, 2^86745824 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 86745824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93591288).

86745824 is an abundant number, since it is smaller than the sum of its proper divisors (100436752).

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

86745824 is a wasteful number, since it uses less digits than its factorization.

86745824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1171 counting only the distinct ones).

The product of its digits is 430080, while the sum is 44.

The square root of 86745824 is about 9313.7438229747. The cubic root of 86745824 is about 442.6728217237.

The spelling of 86745824 in words is "eighty-six million, seven hundred forty-five thousand, eight hundred twenty-four".