86021760 has 128 divisors (see below), whose sum is σ = 299194560. Its totient is φ = 20848640.

The previous prime is 86021753. The next prime is 86021821. The reversal of 86021760 is 6712068.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 19084 + ... + 23156.

Almost surely, 2^86021760 is an apocalyptic number.

86021760 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 86021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149597280).

86021760 is an abundant number, since it is smaller than the sum of its proper divisors (213172800).

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

86021760 is a wasteful number, since it uses less digits than its factorization.

86021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 86021760 is about 9274.7916418645. The cubic root of 86021760 is about 441.4377213017.

The spelling of 86021760 in words is "eighty-six million, twenty-one thousand, seven hundred sixty".