86873416 has 48 divisors (see below), whose sum is σ = 190814400. Its totient is φ = 36322272.

The previous prime is 86873401. The next prime is 86873467. The reversal of 86873416 is 61437868.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103125 + ... + 103963.

It is an arithmetic number, because the mean of its divisors is an integer number (3975300).

Almost surely, 2^86873416 is an apocalyptic number.

86873416 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 86873416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95407200).

86873416 is an abundant number, since it is smaller than the sum of its proper divisors (103940984).

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

86873416 is a wasteful number, since it uses less digits than its factorization.

86873416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 891 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 86873416 is about 9320.5909683882. The cubic root of 86873416 is about 442.8897537454.

The spelling of 86873416 in words is "eighty-six million, eight hundred seventy-three thousand, four hundred sixteen".