86258880 has 168 divisors, whose sum is σ = 302172624. Its totient is φ = 22579200.

The previous prime is 86258873. The next prime is 86258881. The reversal of 86258880 is 8885268.

86258880 is a `hidden beast` number, since 8 + 62 + 588 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86258881) 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, 175435 + ... + 175925.

Almost surely, 2^86258880 is an apocalyptic number.

86258880 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 86258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151086312).

86258880 is an abundant number, since it is smaller than the sum of its proper divisors (215913744).

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

86258880 is a wasteful number, since it uses less digits than its factorization.

86258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 86258880 is about 9287.5658813276. The cubic root of 86258880 is about 441.8429586175.

The spelling of 86258880 in words is "eighty-six million, two hundred fifty-eight thousand, eight hundred eighty".