86328000 has 336 divisors, whose sum is σ = 339973920. Its totient is φ = 20736000.

The previous prime is 86327987. The next prime is 86328013. The reversal of 86328000 is 82368.

It is an interprime number because it is at equal distance from previous prime (86327987) and next prime (86328013).

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, 791946 + ... + 792054.

Almost surely, 2^86328000 is an apocalyptic number.

86328000 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 86328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169986960).

86328000 is an abundant number, since it is smaller than the sum of its proper divisors (253645920).

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

86328000 is a wasteful number, since it uses less digits than its factorization.

86328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86328000 is about 9291.2862403437. The cubic root of 86328000 is about 441.9609446597.

The spelling of 86328000 in words is "eighty-six million, three hundred twenty-eight thousand".