86882490 has 64 divisors (see below), whose sum is σ = 232531200. Its totient is φ = 23084352.

The previous prime is 86882447. The next prime is 86882507. The reversal of 86882490 is 9428868.

It is a happy number.

86882490 is a `hidden beast` number, since 86 + 8 + 82 + 490 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118164 + ... + 118896.

It is an arithmetic number, because the mean of its divisors is an integer number (3633300).

Almost surely, 2^86882490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86882490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116265600).

86882490 is an abundant number, since it is smaller than the sum of its proper divisors (145648710).

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

86882490 is a wasteful number, since it uses less digits than its factorization.

86882490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

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

The square root of 86882490 is about 9321.0777273875. The cubic root of 86882490 is about 442.9051732753.

The spelling of 86882490 in words is "eighty-six million, eight hundred eighty-two thousand, four hundred ninety".