86380720 has 40 divisors (see below), whose sum is σ = 204250320. Its totient is φ = 33964800.

The previous prime is 86380717. The next prime is 86380729. The reversal of 86380720 is 2708368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (86380729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4431 + ... + 13870.

It is an arithmetic number, because the mean of its divisors is an integer number (5106258).

Almost surely, 2^86380720 is an apocalyptic number.

86380720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86380720 is an abundant number, since it is smaller than the sum of its proper divisors (117869600).

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

86380720 is a wasteful number, since it uses less digits than its factorization.

86380720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18373 (or 18367 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 86380720 is about 9294.1228741609. The cubic root of 86380720 is about 442.0508939983.

The spelling of 86380720 in words is "eighty-six million, three hundred eighty thousand, seven hundred twenty".