86421760 has 72 divisors (see below), whose sum is σ = 209272896. Its totient is φ = 34191360.

The previous prime is 86421743. The next prime is 86421763. The reversal of 86421760 is 6712468.

It is not an unprimeable number, because it can be changed into a prime (86421763) 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, 136645 + ... + 137275.

It is an arithmetic number, because the mean of its divisors is an integer number (2906568).

Almost surely, 2^86421760 is an apocalyptic number.

86421760 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 86421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104636448).

86421760 is an abundant number, since it is smaller than the sum of its proper divisors (122851136).

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

86421760 is a wasteful number, since it uses less digits than its factorization.

86421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 745 counting only the distinct ones).

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

The square root of 86421760 is about 9296.3304588423. The cubic root of 86421760 is about 442.1208899278.

The spelling of 86421760 in words is "eighty-six million, four hundred twenty-one thousand, seven hundred sixty".