363870 has 48 divisors (see below), whose sum is σ = 1022112. Its totient is φ = 89280.

The previous prime is 363841. The next prime is 363871. The reversal of 363870 is 78363.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 13.

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 363870.

It is not an unprimeable number, because it can be changed into a prime (363871) by changing a digit.

363870 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (21294).

2³⁶³⁸⁷⁰ is an apocalyptic number.

363870 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 363870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511056).

363870 is an abundant number, since it is smaller than the sum of its proper divisors (658242).

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

363870 is a wasteful number, since it uses less digits than its factorization.

363870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 334 counting only the distinct ones).

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

The square root of 363870 is about 603.2163790880. The cubic root of 363870 is about 71.3918687631.

The spelling of 363870 in words is "three hundred sixty-three thousand, eight hundred seventy".