86768000 has 256 divisors, whose sum is σ = 257774400. Its totient is φ = 28672000.

The previous prime is 86767973. The next prime is 86768027. The reversal of 86768000 is 86768.

It is an interprime number because it is at equal distance from previous prime (86767973) and next prime (86768027).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2991986 + ... + 2992014.

Almost surely, 2^86768000 is an apocalyptic number.

86768000 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 86768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

86768000 is an abundant number, since it is smaller than the sum of its proper divisors (171006400).

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

86768000 is a wasteful number, since it uses less digits than its factorization.

86768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 86768000 is about 9314.9342456080. The cubic root of 86768000 is about 442.7105406426.

86768000 divided by its reverse (86768) gives a cube (1000 = 10³).

The spelling of 86768000 in words is "eighty-six million, seven hundred sixty-eight thousand".