86413824 has 320 divisors, whose sum is σ = 314265600. Its totient is φ = 22892544.

The previous prime is 86413793. The next prime is 86413849. The reversal of 86413824 is 42831468.

86413824 = T₁₄₇ + T₁₄₈ + ... + T₈₀₄.

86413824 is a `hidden beast` number, since 8 + 641 + 3 + 8 + 2 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838569 + ... + 1838615.

It is an arithmetic number, because the mean of its divisors is an integer number (982080).

Almost surely, 2^86413824 is an apocalyptic number.

86413824 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

86413824 is an abundant number, since it is smaller than the sum of its proper divisors (227851776).

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

86413824 is a wasteful number, since it uses less digits than its factorization.

86413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 86413824 is about 9295.9036139581. The cubic root of 86413824 is about 442.1073563811.

It can be divided in two parts, 864 and 13824, that multiplied together give a square (11943936 = 3456²).

The spelling of 86413824 in words is "eighty-six million, four hundred thirteen thousand, eight hundred twenty-four".