86519580 has 96 divisors (see below), whose sum is σ = 279465984. Its totient is φ = 19590144.

The previous prime is 86519567. The next prime is 86519593. The reversal of 86519580 is 8591568.

It is an interprime number because it is at equal distance from previous prime (86519567) and next prime (86519593).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46549 + ... + 48371.

It is an arithmetic number, because the mean of its divisors is an integer number (2911104).

Almost surely, 2^86519580 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 86519580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139732992).

86519580 is an abundant number, since it is smaller than the sum of its proper divisors (192946404).

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

86519580 is a wasteful number, since it uses less digits than its factorization.

86519580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 86519580 is about 9301.5901866294. The cubic root of 86519580 is about 442.2876378945.

The spelling of 86519580 in words is "eighty-six million, five hundred nineteen thousand, five hundred eighty".