370560 has 64 divisors (see below), whose sum is σ = 1187280. Its totient is φ = 98304.

The previous prime is 370547. The next prime is 370561. The reversal of 370560 is 65073.

370560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 13.

It is a zygodrome 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 370560.

It is not an unprimeable number, because it can be changed into a prime (370561) by changing a digit.

370560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1824 + ... + 2016.

2³⁷⁰⁵⁶⁰ is an apocalyptic number.

370560 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 370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593640).

370560 is an abundant number, since it is smaller than the sum of its proper divisors (816720).

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

370560 is a wasteful number, since it uses less digits than its factorization.

370560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 370560 is about 608.7363961519. The cubic root of 370560 is about 71.8267439161.

The spelling of 370560 in words is "three hundred seventy thousand, five hundred sixty".