368712 has 40 divisors (see below), whose sum is σ = 1034550. Its totient is φ = 122688.

The previous prime is 368689. The next prime is 368717. The reversal of 368712 is 217863.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 15876 = 594^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368712.

It is not an unprimeable number, because it can be changed into a prime (368717) by changing a digit.

368712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 364 + ... + 932.

2³⁶⁸⁷¹² 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 368712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517275).

368712 is an abundant number, since it is smaller than the sum of its proper divisors (665838).

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

368712 is a wasteful number, since it uses less digits than its factorization.

368712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 574 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 368712 is about 607.2166005636. The cubic root of 368712 is about 71.7071437710.

It can be divided in two parts, 3687 and 12, that multiplied together give a palindrome (44244).

The spelling of 368712 in words is "three hundred sixty-eight thousand, seven hundred twelve".