86497488 has 240 divisors, whose sum is σ = 313372800. Its totient is φ = 21611520.

The previous prime is 86497429. The next prime is 86497501. The reversal of 86497488 is 88479468.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321418 + ... + 321686.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^86497488 is an apocalyptic number.

86497488 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 86497488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

86497488 is an abundant number, since it is smaller than the sum of its proper divisors (226875312).

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

86497488 is a wasteful number, since it uses less digits than its factorization.

86497488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 86497488 is about 9300.4025719320. The cubic root of 86497488 is about 442.2499899607.

The spelling of 86497488 in words is "eighty-six million, four hundred ninety-seven thousand, four hundred eighty-eight".