86098080 has 96 divisors (see below), whose sum is σ = 272982528. Its totient is φ = 22809600.

The previous prime is 86098069. The next prime is 86098099. The reversal of 86098080 is 8089068.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 86385 + ... + 87375.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^86098080 is an apocalyptic number.

86098080 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 86098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

86098080 is an abundant number, since it is smaller than the sum of its proper divisors (186884448).

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

86098080 is a wasteful number, since it uses less digits than its factorization.

86098080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 86098080 is about 9278.9051078239. The cubic root of 86098080 is about 441.5682331171.

The spelling of 86098080 in words is "eighty-six million, ninety-eight thousand, eighty".