364640 has 48 divisors (see below), whose sum is σ = 898128. Its totient is φ = 139776.

The previous prime is 364627. The next prime is 364643. The reversal of 364640 is 46463.

364640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 364640.

It is not an unprimeable number, because it can be changed into a prime (364643) 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, 6854 + ... + 6906.

It is an arithmetic number, because the mean of its divisors is an integer number (18711).

2³⁶⁴⁶⁴⁰ 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 364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449064).

364640 is an abundant number, since it is smaller than the sum of its proper divisors (533488).

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

364640 is a wasteful number, since it uses less digits than its factorization.

364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 364640 is about 603.8542870594. The cubic root of 364640 is about 71.4421916884.

The spelling of 364640 in words is "three hundred sixty-four thousand, six hundred forty".