821286360 has 96 divisors (see below), whose sum is σ = 2684813040. Its totient is φ = 217727232.

The previous prime is 821286359. The next prime is 821286377. The reversal of 821286360 is 63682128.

821286360 is a `hidden beast` number, since 8 + 2 + 12 + 8 + 636 + 0 = 666.

It is a super-2 number, since 2×821286360² = 1349022570244099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55687 + ... + 68873.

Almost surely, 2^821286360 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 821286360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342406520).

821286360 is an abundant number, since it is smaller than the sum of its proper divisors (1863526680).

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

821286360 is a wasteful number, since it uses less digits than its factorization.

821286360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13377 (or 13370 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 821286360 is about 28658.0941445868. The cubic root of 821286360 is about 936.4793457525.

It can be divided in two parts, 82128 and 6360, that added together give a palindrome (88488).

The spelling of 821286360 in words is "eight hundred twenty-one million, two hundred eighty-six thousand, three hundred sixty".