375360 has 112 divisors (see below), whose sum is σ = 1316736. Its totient is φ = 90112.

The previous prime is 375359. The next prime is 375367. The reversal of 375360 is 63573.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 375360.

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 375360.

It is not an unprimeable number, because it can be changed into a prime (375367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16309 + ... + 16331.

2³⁷⁵³⁶⁰ is an apocalyptic number.

375360 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 375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658368).

375360 is an abundant number, since it is smaller than the sum of its proper divisors (941376).

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

375360 is a wasteful number, since it uses less digits than its factorization.

375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 375360 is about 612.6663039535. Note that the first 3 decimals coincide. The cubic root of 375360 is about 72.1355471281.

The spelling of 375360 in words is "three hundred seventy-five thousand, three hundred sixty".