366960 has 80 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 88320.

The previous prime is 366953. The next prime is 366967. The reversal of 366960 is 69663.

It is an interprime number because it is at equal distance from previous prime (366953) and next prime (366967).

It is a tau number, because it is divible by the number of its divisors (80).

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 366960.

It is not an unprimeable number, because it can be changed into a prime (366967) by changing a digit.

366960 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, 2571 + ... + 2709.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2³⁶⁶⁹⁶⁰ is an apocalyptic number.

366960 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 366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

366960 is an abundant number, since it is smaller than the sum of its proper divisors (882960).

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

366960 is a wasteful number, since it uses less digits than its factorization.

366960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 366960 is about 605.7722344248. The cubic root of 366960 is about 71.5933870280.

It can be divided in two parts, 366 and 960, that added together give a triangular number (1326 = T₅₁).

The spelling of 366960 in words is "three hundred sixty-six thousand, nine hundred sixty".