86988480 has 224 divisors, whose sum is σ = 296509440. Its totient is φ = 21565440.

The previous prime is 86988457. The next prime is 86988481. The reversal of 86988480 is 8488968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86988481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101081 + ... + 1101159.

Almost surely, 2^86988480 is an apocalyptic number.

86988480 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 86988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148254720).

86988480 is an abundant number, since it is smaller than the sum of its proper divisors (209520960).

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

86988480 is a wasteful number, since it uses less digits than its factorization.

86988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 86988480 is about 9326.7614958248. The cubic root of 86988480 is about 443.0852035786.

The spelling of 86988480 in words is "eighty-six million, nine hundred eighty-eight thousand, four hundred eighty".