86352000 has 256 divisors, whose sum is σ = 328423680. Its totient is φ = 19660800.

The previous prime is 86351981. The next prime is 86352011. The reversal of 86352000 is 25368.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 335872 + ... + 336128.

It is an arithmetic number, because the mean of its divisors is an integer number (1282905).

Almost surely, 2^86352000 is an apocalyptic number.

86352000 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 86352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164211840).

86352000 is an abundant number, since it is smaller than the sum of its proper divisors (242071680).

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

86352000 is a wasteful number, since it uses less digits than its factorization.

86352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 86352000 is about 9292.5776832911. The cubic root of 86352000 is about 442.0018973049.

Adding to 86352000 its reverse (25368), we get a palindrome (86377368).

The spelling of 86352000 in words is "eighty-six million, three hundred fifty-two thousand".