86717520 has 160 divisors (see below), whose sum is σ = 314563200. Its totient is φ = 21897216.

The previous prime is 86717507. The next prime is 86717531. The reversal of 86717520 is 2571768.

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

It is a congruent number.

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, 39984 + ... + 42096.

It is an arithmetic number, because the mean of its divisors is an integer number (1966020).

Almost surely, 2^86717520 is an apocalyptic number.

86717520 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 86717520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157281600).

86717520 is an abundant number, since it is smaller than the sum of its proper divisors (227845680).

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

86717520 is a wasteful number, since it uses less digits than its factorization.

86717520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 86717520 is about 9312.2242241046. The cubic root of 86717520 is about 442.6246704163.

The spelling of 86717520 in words is "eighty-six million, seven hundred seventeen thousand, five hundred twenty".