86830560 has 144 divisors (see below), whose sum is σ = 313827696. Its totient is φ = 21786624.

The previous prime is 86830547. The next prime is 86830561. The reversal of 86830560 is 6503868.

86830560 is a `hidden beast` number, since 8 + 68 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×86830560² = 15079092299827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86830561) 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, 22707 + ... + 26253.

It is an arithmetic number, because the mean of its divisors is an integer number (2179359).

Almost surely, 2^86830560 is an apocalyptic number.

86830560 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 86830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156913848).

86830560 is an abundant number, since it is smaller than the sum of its proper divisors (226997136).

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

86830560 is a wasteful number, since it uses less digits than its factorization.

86830560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86830560 is about 9318.2916889310. The cubic root of 86830560 is about 442.8169136441.

The spelling of 86830560 in words is "eighty-six million, eight hundred thirty thousand, five hundred sixty".