86511360 has 144 divisors (see below), whose sum is σ = 297720864. Its totient is φ = 21282816.

The previous prime is 86511343. The next prime is 86511361. The reversal of 86511360 is 6311568.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86511361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49054 + ... + 50786.

It is an arithmetic number, because the mean of its divisors is an integer number (2067506).

Almost surely, 2^86511360 is an apocalyptic number.

86511360 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 86511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148860432).

86511360 is an abundant number, since it is smaller than the sum of its proper divisors (211209504).

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

86511360 is a wasteful number, since it uses less digits than its factorization.

86511360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 86511360 is about 9301.1483162027. The cubic root of 86511360 is about 442.2736305853.

It can be divided in two parts, 8651 and 1360, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 86511360 in words is "eighty-six million, five hundred eleven thousand, three hundred sixty".