86881280 has 88 divisors (see below), whose sum is σ = 212232960. Its totient is φ = 34119680.

The previous prime is 86881279. The next prime is 86881321. The reversal of 86881280 is 8218868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363401 + ... + 363639.

Almost surely, 2^86881280 is an apocalyptic number.

86881280 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 86881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106116480).

86881280 is an abundant number, since it is smaller than the sum of its proper divisors (125351680).

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

86881280 is a wasteful number, since it uses less digits than its factorization.

86881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

The square root of 86881280 is about 9321.0128205040. The cubic root of 86881280 is about 442.9031171735.

The spelling of 86881280 in words is "eighty-six million, eight hundred eighty-one thousand, two hundred eighty".