86415744 has 64 divisors (see below), whose sum is σ = 231336000. Its totient is φ = 28580352.

The previous prime is 86415731. The next prime is 86415779. The reversal of 86415744 is 44751468.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×86415744² = 14935361622147072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52567 + ... + 54185.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^86415744 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 86415744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115668000).

86415744 is an abundant number, since it is smaller than the sum of its proper divisors (144920256).

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

86415744 is a wasteful number, since it uses less digits than its factorization.

86415744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1763 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 86415744 is about 9296.0068846790. The cubic root of 86415744 is about 442.1106307022.

The spelling of 86415744 in words is "eighty-six million, four hundred fifteen thousand, seven hundred forty-four".