86542560 has 384 divisors, whose sum is σ = 345461760. Its totient is φ = 20072448.

The previous prime is 86542559. The next prime is 86542567. The reversal of 86542560 is 6524568.

It is a super-2 number, since 2×86542560² = 14979229382707200, 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 (86542567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291647 + ... + 1291713.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 2^86542560 is an apocalyptic number.

86542560 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 86542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

86542560 is an abundant number, since it is smaller than the sum of its proper divisors (258919200).

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

86542560 is a wasteful number, since it uses less digits than its factorization.

86542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 86542560 is about 9302.8253772711. The cubic root of 86542560 is about 442.3267923079.

The spelling of 86542560 in words is "eighty-six million, five hundred forty-two thousand, five hundred sixty".