86868000 has 288 divisors, whose sum is σ = 327075840. Its totient is φ = 21772800.

The previous prime is 86867999. The next prime is 86868013. The reversal of 86868000 is 86868.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683937 + ... + 684063.

It is an arithmetic number, because the mean of its divisors is an integer number (1135680).

Almost surely, 2^86868000 is an apocalyptic number.

86868000 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 86868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

86868000 is an abundant number, since it is smaller than the sum of its proper divisors (240207840).

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

86868000 is a wasteful number, since it uses less digits than its factorization.

86868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 86868000 is about 9320.3004243426. The cubic root of 86868000 is about 442.8805497762.

86868000 divided by its reverse (86868) gives a cube (1000 = 10³).

The spelling of 86868000 in words is "eighty-six million, eight hundred sixty-eight thousand".