86741520 has 80 divisors (see below), whose sum is σ = 272637312. Its totient is φ = 22809600.

The previous prime is 86741509. The next prime is 86741521. The reversal of 86741520 is 2514768.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (86741521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15045 + ... + 19995.

Almost surely, 2^86741520 is an apocalyptic number.

86741520 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 86741520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136318656).

86741520 is an abundant number, since it is smaller than the sum of its proper divisors (185895792).

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

86741520 is a wasteful number, since it uses less digits than its factorization.

86741520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 86741520 is about 9313.5127637213. The cubic root of 86741520 is about 442.6655003518.

The spelling of 86741520 in words is "eighty-six million, seven hundred forty-one thousand, five hundred twenty".