362868 has 24 divisors (see below), whose sum is σ = 924000. Its totient is φ = 109920.

The previous prime is 362867. The next prime is 362897. The reversal of 362868 is 868263.

It is a super-3 number, since 3×362868³ = 143339956345308096, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362868.

It is not an unprimeable number, because it can be changed into a prime (362863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1243 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (38500).

2³⁶²⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

362868 is an abundant number, since it is smaller than the sum of its proper divisors (561132).

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

362868 is a wasteful number, since it uses less digits than its factorization.

362868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2765 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 362868 is about 602.3852587838. The cubic root of 362868 is about 71.3262771914.

The spelling of 362868 in words is "three hundred sixty-two thousand, eight hundred sixty-eight".