86136480 has 192 divisors, whose sum is σ = 305786880. Its totient is φ = 22643712.

The previous prime is 86136469. The next prime is 86136497. The reversal of 86136480 is 8463168.

It is a happy number.

86136480 is a `hidden beast` number, since 8 + 6 + 1 + 3 + 648 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548562 + ... + 548718.

It is an arithmetic number, because the mean of its divisors is an integer number (1592640).

Almost surely, 2^86136480 is an apocalyptic number.

86136480 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 86136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152893440).

86136480 is an abundant number, since it is smaller than the sum of its proper divisors (219650400).

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

86136480 is a wasteful number, since it uses less digits than its factorization.

86136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86136480 is about 9280.9740868079. The cubic root of 86136480 is about 441.6338702755.

The spelling of 86136480 in words is "eighty-six million, one hundred thirty-six thousand, four hundred eighty".