86982480 has 120 divisors (see below), whose sum is σ = 314620488. Its totient is φ = 21408768.

The previous prime is 86982479. The next prime is 86982491. The reversal of 86982480 is 8428968.

It is a happy number.

86982480 is a `hidden beast` number, since 86 + 98 + 2 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 85599504 = 1176^2 + 9252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4714 + ... + 14006.

Almost surely, 2^86982480 is an apocalyptic number.

86982480 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 86982480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157310244).

86982480 is an abundant number, since it is smaller than the sum of its proper divisors (227638008).

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

86982480 is a wasteful number, since it uses less digits than its factorization.

86982480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9325 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 86982480 is about 9326.4398352212. The cubic root of 86982480 is about 443.0750161287.

The spelling of 86982480 in words is "eighty-six million, nine hundred eighty-two thousand, four hundred eighty".