86268000 has 384 divisors, whose sum is σ = 352235520. Its totient is φ = 17971200.

The previous prime is 86267989. The next prime is 86268041. The reversal of 86268000 is 86268.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091961 + ... + 1092039.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^86268000 is an apocalyptic number.

86268000 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 86268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

86268000 is an abundant number, since it is smaller than the sum of its proper divisors (265967520).

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

86268000 is a wasteful number, since it uses less digits than its factorization.

86268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 86268000 is about 9288.0568473713. The cubic root of 86268000 is about 441.8585298290.

86268000 divided by its reverse (86268) gives a cube (1000 = 10³).

The spelling of 86268000 in words is "eighty-six million, two hundred sixty-eight thousand".