286868736 has 432 divisors, whose sum is σ = 1087408000. Its totient is φ = 74511360.

The previous prime is 286868651. The next prime is 286868737. The reversal of 286868736 is 637868682.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286868737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26078971 + ... + 26078981.

Almost surely, 2^286868736 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 286868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543704000).

286868736 is an abundant number, since it is smaller than the sum of its proper divisors (800539264).

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

286868736 is an equidigital number, since it uses as much as digits as its factorization.

286868736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 286868736 is about 16937.1997685568. The cubic root of 286868736 is about 659.5196504853.

Subtracting from 286868736 its sum of digits (54), we obtain a palindrome (286868682).

The spelling of 286868736 in words is "two hundred eighty-six million, eight hundred sixty-eight thousand, seven hundred thirty-six".