365640 has 64 divisors (see below), whose sum is σ = 1200960. Its totient is φ = 88320.

The previous prime is 365639. The next prime is 365641. The reversal of 365640 is 46563.

It is an interprime number because it is at equal distance from previous prime (365639) and next prime (365641).

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

It is a d-powerful number, because it can be written as 3⁷ + 6⁴ + 6⁷ + 5⁷ + 4⁶ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 365640.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365640.

It is not an unprimeable number, because it can be changed into a prime (365641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1182 + ... + 1458.

It is an arithmetic number, because the mean of its divisors is an integer number (18765).

2³⁶⁵⁶⁴⁰ is an apocalyptic number.

365640 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 365640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600480).

365640 is an abundant number, since it is smaller than the sum of its proper divisors (835320).

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

365640 is a wasteful number, since it uses less digits than its factorization.

365640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 365640 is about 604.6817344686. The cubic root of 365640 is about 71.5074405024.

The spelling of 365640 in words is "three hundred sixty-five thousand, six hundred forty".