86256300 has 144 divisors (see below), whose sum is σ = 284794272. Its totient is φ = 19968000.

The previous prime is 86256299. The next prime is 86256329. The reversal of 86256300 is 365268.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1301 × 51 × 1300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65650 + ... + 66950.

It is an arithmetic number, because the mean of its divisors is an integer number (1977738).

Almost surely, 2^86256300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86256300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142397136).

86256300 is an abundant number, since it is smaller than the sum of its proper divisors (198537972).

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

86256300 is a wasteful number, since it uses less digits than its factorization.

86256300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 86256300 is about 9287.4269849081. The cubic root of 86256300 is about 441.8385534046.

The spelling of 86256300 in words is "eighty-six million, two hundred fifty-six thousand, three hundred".