365760 has 84 divisors (see below), whose sum is σ = 1267968. Its totient is φ = 96768.

The previous prime is 365759. The next prime is 365773. The reversal of 365760 is 67563.

365760 is a `hidden beast` number, since 3 + 657 + 6 + 0 = 666.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365760.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 2817 + ... + 2943.

2³⁶⁵⁷⁶⁰ is an apocalyptic number.

365760 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 365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633984).

365760 is an abundant number, since it is smaller than the sum of its proper divisors (902208).

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

365760 is a wasteful number, since it uses less digits than its factorization.

365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 365760 is about 604.7809520810. The cubic root of 365760 is about 71.5152623620.

The spelling of 365760 in words is "three hundred sixty-five thousand, seven hundred sixty".