86074560 has 504 divisors, whose sum is σ = 368899440. Its totient is φ = 18247680.

The previous prime is 86074559. The next prime is 86074561. The reversal of 86074560 is 6547068.

86074560 = 463² + 464² + ... + 709².

It is a happy number.

86074560 is a `hidden beast` number, since 8 + 607 + 45 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86074559) and next prime (86074561).

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

It is not an unprimeable number, because it can be changed into a prime (86074561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4530231 + ... + 4530249.

Almost surely, 2^86074560 is an apocalyptic number.

86074560 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 86074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184449720).

86074560 is an abundant number, since it is smaller than the sum of its proper divisors (282824880).

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

86074560 is a wasteful number, since it uses less digits than its factorization.

86074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 86074560 is about 9277.6376303453. The cubic root of 86074560 is about 441.5280207194.

The spelling of 86074560 in words is "eighty-six million, seventy-four thousand, five hundred sixty".