86549520 has 80 divisors (see below), whose sum is σ = 276982272. Its totient is φ = 22333440.

The previous prime is 86549509. The next prime is 86549521. The reversal of 86549520 is 2594568.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86549521) 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, 1624 + ... + 13256.

Almost surely, 2^86549520 is an apocalyptic number.

86549520 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 86549520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138491136).

86549520 is an abundant number, since it is smaller than the sum of its proper divisors (190432752).

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

86549520 is a wasteful number, since it uses less digits than its factorization.

86549520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11680 (or 11674 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 86549520 is about 9303.1994496517. The cubic root of 86549520 is about 442.3386497182.

The spelling of 86549520 in words is "eighty-six million, five hundred forty-nine thousand, five hundred twenty".