86481920 has 176 divisors, whose sum is σ = 251535360. Its totient is φ = 27869184.

The previous prime is 86481919. The next prime is 86481943. The reversal of 86481920 is 2918468.

It is a super-3 number, since 3×86481920³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680897 + ... + 681023.

Almost surely, 2^86481920 is an apocalyptic number.

86481920 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 86481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125767680).

86481920 is an abundant number, since it is smaller than the sum of its proper divisors (165053440).

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

86481920 is a wasteful number, since it uses less digits than its factorization.

86481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 86481920 is about 9299.5655812516. The cubic root of 86481920 is about 442.2234560073.

The spelling of 86481920 in words is "eighty-six million, four hundred eighty-one thousand, nine hundred twenty".