86201520 has 80 divisors (see below), whose sum is σ = 268753632. Its totient is φ = 22855680.

The previous prime is 86201513. The next prime is 86201551. The reversal of 86201520 is 2510268.

86201520 = T₈₃ + T₈₄ + ... + T₈₀₂.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 45390 + ... + 47250.

Almost surely, 2^86201520 is an apocalyptic number.

86201520 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 86201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134376816).

86201520 is an abundant number, since it is smaller than the sum of its proper divisors (182552112).

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

86201520 is a wasteful number, since it uses less digits than its factorization.

86201520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 86201520 is about 9284.4773681667. The cubic root of 86201520 is about 441.7449987247.

Adding to 86201520 its reverse (2510268), we get a palindrome (88711788).

The spelling of 86201520 in words is "eighty-six million, two hundred one thousand, five hundred twenty".