86397120 has 168 divisors, whose sum is σ = 300746160. Its totient is φ = 22763520.

The previous prime is 86397089. The next prime is 86397137. The reversal of 86397120 is 2179368.

86397120 is a `hidden beast` number, since 8 + 639 + 7 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377166 + ... + 377394.

Almost surely, 2^86397120 is an apocalyptic number.

86397120 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 86397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150373080).

86397120 is an abundant number, since it is smaller than the sum of its proper divisors (214349040).

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

86397120 is a wasteful number, since it uses less digits than its factorization.

86397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86397120 is about 9295.0051102729. The cubic root of 86397120 is about 442.0788677403.

The spelling of 86397120 in words is "eighty-six million, three hundred ninety-seven thousand, one hundred twenty".