368640 has 84 divisors (see below), whose sum is σ = 1277874. Its totient is φ = 98304.

The previous prime is 368633. The next prime is 368647. The reversal of 368640 is 46863.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)⁹.

It is an interprime number because it is at equal distance from previous prime (368633) and next prime (368647).

It can be written as a sum of positive squares in only one way, i.e., 331776 + 36864 = 576^2 + 192^2 .

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368640.

It is not an unprimeable number, because it can be changed into a prime (368647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73726 + ... + 73730.

368640 is a Friedman number, since it can be written as 60*6*4^(8-3), using all its digits and the basic arithmetic operations.

2³⁶⁸⁶⁴⁰ is an apocalyptic number.

368640 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 368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638937).

368640 is an abundant number, since it is smaller than the sum of its proper divisors (909234).

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

368640 is an equidigital number, since it uses as much as digits as its factorization.

368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 368640 is about 607.1573107523. The cubic root of 368640 is about 71.7024759449.

The spelling of 368640 in words is "three hundred sixty-eight thousand, six hundred forty".