86981720 has 64 divisors (see below), whose sum is σ = 224769600. Its totient is φ = 29675520.

The previous prime is 86981717. The next prime is 86981729. The reversal of 86981720 is 2718968.

It is a super-2 number, since 2×86981720² = 15131639228316800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86981729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66836 + ... + 68124.

It is an arithmetic number, because the mean of its divisors is an integer number (3512025).

Almost surely, 2^86981720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86981720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112384800).

86981720 is an abundant number, since it is smaller than the sum of its proper divisors (137787880).

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

86981720 is a wasteful number, since it uses less digits than its factorization.

86981720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 86981720 is about 9326.3990907531. The cubic root of 86981720 is about 443.0737256850.

The spelling of 86981720 in words is "eighty-six million, nine hundred eighty-one thousand, seven hundred twenty".