86878000 has 120 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 31504000.

The previous prime is 86877983. The next prime is 86878019. The reversal of 86878000 is 87868.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 241821 + ... + 242179.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 2^86878000 is an apocalyptic number.

86878000 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 86878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

86878000 is an abundant number, since it is smaller than the sum of its proper divisors (144669680).

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

86878000 is a wasteful number, since it uses less digits than its factorization.

86878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 86878000 is about 9320.8368722985. The cubic root of 86878000 is about 442.8975435121.

The spelling of 86878000 in words is "eighty-six million, eight hundred seventy-eight thousand".