86095080 has 192 divisors, whose sum is σ = 302702400. Its totient is φ = 21150720.

The previous prime is 86095057. The next prime is 86095111. The reversal of 86095080 is 8059068.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280287 + ... + 280593.

It is an arithmetic number, because the mean of its divisors is an integer number (1576575).

Almost surely, 2^86095080 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 86095080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151351200).

86095080 is an abundant number, since it is smaller than the sum of its proper divisors (216607320).

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

86095080 is a wasteful number, since it uses less digits than its factorization.

86095080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 86095080 is about 9278.7434494117. The cubic root of 86095080 is about 441.5631043923.

It can be divided in two parts, 8609 and 5080, that added together give a square (13689 = 117²).

The spelling of 86095080 in words is "eighty-six million, ninety-five thousand, eighty".