86278000 has 80 divisors (see below), whose sum is σ = 210656160. Its totient is φ = 34176000.

The previous prime is 86277979. The next prime is 86278007. The reversal of 86278000 is 87268.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86278007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357880 + ... + 358120.

It is an arithmetic number, because the mean of its divisors is an integer number (2633202).

Almost surely, 2^86278000 is an apocalyptic number.

86278000 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 86278000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105328080).

86278000 is an abundant number, since it is smaller than the sum of its proper divisors (124378160).

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

86278000 is a wasteful number, since it uses less digits than its factorization.

86278000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 86278000 is about 9288.5951575036. The cubic root of 86278000 is about 441.8756022644.

The spelling of 86278000 in words is "eighty-six million, two hundred seventy-eight thousand".