86949520 has 120 divisors (see below), whose sum is σ = 241343928. Its totient is φ = 29030400.

The previous prime is 86949493. The next prime is 86949523. The reversal of 86949520 is 2594968.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 86936976 = 112^2 + 9324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86949523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160450 + ... + 160990.

Almost surely, 2^86949520 is an apocalyptic number.

86949520 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 86949520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120671964).

86949520 is an abundant number, since it is smaller than the sum of its proper divisors (154394408).

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

86949520 is a wasteful number, since it uses less digits than its factorization.

86949520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 86949520 is about 9324.6726484097. The cubic root of 86949520 is about 443.0190447135.

The spelling of 86949520 in words is "eighty-six million, nine hundred forty-nine thousand, five hundred twenty".