86325888 has 128 divisors (see below), whose sum is σ = 253808640. Its totient is φ = 25779200.

The previous prime is 86325871. The next prime is 86325913. The reversal of 86325888 is 88852368.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451873 + ... + 452063.

It is an arithmetic number, because the mean of its divisors is an integer number (1982880).

Almost surely, 2^86325888 is an apocalyptic number.

86325888 is a gapful number since it is divisible by the number (88) 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 86325888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126904320).

86325888 is an abundant number, since it is smaller than the sum of its proper divisors (167482752).

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

86325888 is a wasteful number, since it uses less digits than its factorization.

86325888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 86325888 is about 9291.1725847710. The cubic root of 86325888 is about 441.9573404636.

The spelling of 86325888 in words is "eighty-six million, three hundred twenty-five thousand, eight hundred eighty-eight".