86883840 has 200 divisors, whose sum is σ = 311933160. Its totient is φ = 23113728.

The previous prime is 86883803. The next prime is 86883869. The reversal of 86883840 is 4838868.

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 19 ways as a sum of consecutive naturals, for example, 207151 + ... + 207569.

Almost surely, 2^86883840 is an apocalyptic number.

86883840 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 86883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155966580).

86883840 is an abundant number, since it is smaller than the sum of its proper divisors (225049320).

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

86883840 is an equidigital number, since it uses as much as digits as its factorization.

86883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 86883840 is about 9321.1501436250. The cubic root of 86883840 is about 442.9074672508.

The spelling of 86883840 in words is "eighty-six million, eight hundred eighty-three thousand, eight hundred forty".