86397024 has 96 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 24371712.

The previous prime is 86397023. The next prime is 86397037. The reversal of 86397024 is 42079368.

It is a Cunningham number, because it is equal to 9295²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86397023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55002 + ... + 56550.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^86397024 is an apocalyptic number.

86397024 is a gapful number since it is divisible by the number (84) 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 86397024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

86397024 is an abundant number, since it is smaller than the sum of its proper divisors (176086176).

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

86397024 is a wasteful number, since it uses less digits than its factorization.

86397024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 86397024 is about 9294.9999462076. Note that the first 4 decimals coincide. The cubic root of 86397024 is about 442.0787040018.

The spelling of 86397024 in words is "eighty-six million, three hundred ninety-seven thousand, twenty-four".