365680 has 40 divisors (see below), whose sum is σ = 973152. Its totient is φ = 125184.

The previous prime is 365669. The next prime is 365683. The reversal of 365680 is 86563.

365680 = 91² + 92² + ... + 122².

365680 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 (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234 + ... + 886.

2³⁶⁵⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486576).

365680 is an abundant number, since it is smaller than the sum of its proper divisors (607472).

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

365680 is a wasteful number, since it uses less digits than its factorization.

365680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 365680 is about 604.7148088149. The cubic root of 365680 is about 71.5100479790.

It can be divided in two parts, 36 and 5680, that multiplied together give a triangular number (204480 = T₆₃₉).

The spelling of 365680 in words is "three hundred sixty-five thousand, six hundred eighty".