375960 has 64 divisors (see below), whose sum is σ = 1219680. Its totient is φ = 92160.

The previous prime is 375931. The next prime is 375967. The reversal of 375960 is 69573.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 375960.

It is not an unprimeable number, because it can be changed into a prime (375967) by changing a digit.

375960 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 15 ways as a sum of consecutive naturals, for example, 1440 + ... + 1680.

2³⁷⁵⁹⁶⁰ is an apocalyptic number.

375960 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 375960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609840).

375960 is an abundant number, since it is smaller than the sum of its proper divisors (843720).

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

375960 is a wasteful number, since it uses less digits than its factorization.

375960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 375960 is about 613.1557713991. The cubic root of 375960 is about 72.1739620609.

It can be divided in two parts, 375 and 960, that multiplied together give a square (360000 = 600²).

The spelling of 375960 in words is "three hundred seventy-five thousand, nine hundred sixty".