368940 has 96 divisors (see below), whose sum is σ = 1241856. Its totient is φ = 80640.

The previous prime is 368939. The next prime is 368947. The reversal of 368940 is 49863.

368940 = 33² + 34² + ... + 104².

It is a super-2 number, since 2×368940² = 272233447200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 368898 and 368907.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368940.

It is not an unprimeable number, because it can be changed into a prime (368947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8559 + ... + 8601.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2³⁶⁸⁹⁴⁰ is an apocalyptic number.

368940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620928).

368940 is an abundant number, since it is smaller than the sum of its proper divisors (872916).

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

368940 is a wasteful number, since it uses less digits than its factorization.

368940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 368940 is about 607.4043134519. The cubic root of 368940 is about 71.7219212124.

The spelling of 368940 in words is "three hundred sixty-eight thousand, nine hundred forty".