86101520 has 40 divisors (see below), whose sum is σ = 200980440. Its totient is φ = 34304000.

The previous prime is 86101513. The next prime is 86101531. The reversal of 86101520 is 2510168.

It can be written as a sum of positive squares in 4 ways, for example, as 4596736 + 81504784 = 2144^2 + 9028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19520 + ... + 23520.

It is an arithmetic number, because the mean of its divisors is an integer number (5024511).

Almost surely, 2^86101520 is an apocalyptic number.

86101520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86101520 is an abundant number, since it is smaller than the sum of its proper divisors (114878920).

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

86101520 is a wasteful number, since it uses less digits than its factorization.

86101520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 86101520 is about 9279.0904726703. The cubic root of 86101520 is about 441.5741139083.

Adding to 86101520 its reverse (2510168), we get a palindrome (88611688).

The spelling of 86101520 in words is "eighty-six million, one hundred one thousand, five hundred twenty".