370240 has 56 divisors (see below), whose sum is σ = 960120. Its totient is φ = 135168.

The previous prime is 370217. The next prime is 370241. The reversal of 370240 is 42073.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 369664 = 24^2 + 608^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 370240.

It is not an unprimeable number, because it can be changed into a prime (370241) by changing a digit.

370240 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4116 + ... + 4204.

It is an arithmetic number, because the mean of its divisors is an integer number (17145).

2³⁷⁰²⁴⁰ 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 370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480060).

370240 is an abundant number, since it is smaller than the sum of its proper divisors (589880).

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

370240 is a wasteful number, since it uses less digits than its factorization.

370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 370240 is about 608.4734998338. The cubic root of 370240 is about 71.8060624454.

The spelling of 370240 in words is "three hundred seventy thousand, two hundred forty", and thus it is an iban number.