86215840 has 96 divisors (see below), whose sum is σ = 223307280. Its totient is φ = 31309824.

The previous prime is 86215819. The next prime is 86215853. The reversal of 86215840 is 4851268.

It can be written as a sum of positive squares in 8 ways, for example, as 75272976 + 10942864 = 8676^2 + 3308^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 86215796 and 86215805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78334 + ... + 79426.

Almost surely, 2^86215840 is an apocalyptic number.

86215840 is a gapful number since it is divisible by the number (80) 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 86215840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111653640).

86215840 is an abundant number, since it is smaller than the sum of its proper divisors (137091440).

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

86215840 is a wasteful number, since it uses less digits than its factorization.

86215840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 86215840 is about 9285.2485157911. The cubic root of 86215840 is about 441.7694586110.

The spelling of 86215840 in words is "eighty-six million, two hundred fifteen thousand, eight hundred forty".