86083920 has 240 divisors, whose sum is σ = 330260112. Its totient is φ = 19906560.

The previous prime is 86083901. The next prime is 86083939. The reversal of 86083920 is 2938068.

It is an interprime number because it is at equal distance from previous prime (86083901) and next prime (86083939).

It can be written as a sum of positive squares in 8 ways, for example, as 2471184 + 83612736 = 1572^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 158850 + ... + 159390.

Almost surely, 2^86083920 is an apocalyptic number.

86083920 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 86083920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165130056).

86083920 is an abundant number, since it is smaller than the sum of its proper divisors (244176192).

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

86083920 is a wasteful number, since it uses less digits than its factorization.

86083920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86083920 is about 9278.1420553902. The cubic root of 86083920 is about 441.5440244898.

The spelling of 86083920 in words is "eighty-six million, eighty-three thousand, nine hundred twenty".