86514408 has 96 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 27227904.

The previous prime is 86514383. The next prime is 86514419. The reversal of 86514408 is 80441568.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147091 + ... + 147677.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^86514408 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 86514408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

86514408 is an abundant number, since it is smaller than the sum of its proper divisors (161151192).

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

86514408 is a wasteful number, since it uses less digits than its factorization.

86514408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 86514408 is about 9301.3121654958. The cubic root of 86514408 is about 442.2788246399.

The spelling of 86514408 in words is "eighty-six million, five hundred fourteen thousand, four hundred eight".