86346000 has 400 divisors, whose sum is σ = 344071728. Its totient is φ = 20736000.

The previous prime is 86345999. The next prime is 86346019. The reversal of 86346000 is 64368.

It can be written as a sum of positive squares in 8 ways, for example, as 67371264 + 18974736 = 8208^2 + 4356^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2105980 + ... + 2106020.

Almost surely, 2^86346000 is an apocalyptic number.

86346000 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 86346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172035864).

86346000 is an abundant number, since it is smaller than the sum of its proper divisors (257725728).

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

86346000 is a wasteful number, since it uses less digits than its factorization.

86346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 86346000 is about 9292.2548393810. The cubic root of 86346000 is about 441.9916598551.

The spelling of 86346000 in words is "eighty-six million, three hundred forty-six thousand".