86171520 has 128 divisors (see below), whose sum is σ = 282327840. Its totient is φ = 22339584.

The previous prime is 86171509. The next prime is 86171531. The reversal of 86171520 is 2517168.

It is an interprime number because it is at equal distance from previous prime (86171509) and next prime (86171531).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×86171520² = 14851061718220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70434 + ... + 71646.

Almost surely, 2^86171520 is an apocalyptic number.

86171520 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 86171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141163920).

86171520 is an abundant number, since it is smaller than the sum of its proper divisors (196156320).

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

86171520 is a wasteful number, since it uses less digits than its factorization.

86171520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 86171520 is about 9282.8616277525. The cubic root of 86171520 is about 441.6937471628.

Adding to 86171520 its reverse (2517168), we get a palindrome (88688688).

The spelling of 86171520 in words is "eighty-six million, one hundred seventy-one thousand, five hundred twenty".