86137920 has 168 divisors, whose sum is σ = 323331840. Its totient is φ = 20874240.

The previous prime is 86137907. The next prime is 86137949. The reversal of 86137920 is 2973168.

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, 30321 + ... + 33039.

Almost surely, 2^86137920 is an apocalyptic number.

86137920 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 86137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161665920).

86137920 is an abundant number, since it is smaller than the sum of its proper divisors (237193920).

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

86137920 is a wasteful number, since it uses less digits than its factorization.

86137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2740 counting only the distinct ones).

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

The square root of 86137920 is about 9281.0516645475. The cubic root of 86137920 is about 441.6363312894.

It can be divided in two parts, 861 and 37920, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 86137920 in words is "eighty-six million, one hundred thirty-seven thousand, nine hundred twenty".