368730 has 48 divisors (see below), whose sum is σ = 1019304. Its totient is φ = 92160.

The previous prime is 368729. The next prime is 368737. The reversal of 368730 is 37863.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 356409 + 12321 = 597^2 + 111^2 .

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 368694 and 368703.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368730.

It is not an unprimeable number, because it can be changed into a prime (368737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1410 + ... + 1650.

2³⁶⁸⁷³⁰ is an apocalyptic number.

368730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 368730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509652).

368730 is an abundant number, since it is smaller than the sum of its proper divisors (650574).

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

368730 is a wasteful number, since it uses less digits than its factorization.

368730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 368730 is about 607.2314221119. The cubic root of 368730 is about 71.7083106325.

The spelling of 368730 in words is "three hundred sixty-eight thousand, seven hundred thirty".