86314416 has 160 divisors (see below), whose sum is σ = 251412480. Its totient is φ = 25401600.

The previous prime is 86314409. The next prime is 86314429. The reversal of 86314416 is 61441368.

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

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 31 ways as a sum of consecutive naturals, for example, 1215661 + ... + 1215731.

It is an arithmetic number, because the mean of its divisors is an integer number (1571328).

Almost surely, 2^86314416 is an apocalyptic number.

86314416 is a gapful number since it is divisible by the number (86) 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 86314416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125706240).

86314416 is an abundant number, since it is smaller than the sum of its proper divisors (165098064).

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

86314416 is a wasteful number, since it uses less digits than its factorization.

86314416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 86314416 is about 9290.5552040769. Note that the first 3 decimals coincide. The cubic root of 86314416 is about 441.9377620986.

The spelling of 86314416 in words is "eighty-six million, three hundred fourteen thousand, four hundred sixteen".