364840 has 32 divisors (see below), whose sum is σ = 938880. Its totient is φ = 124992.

The previous prime is 364829. The next prime is 364853. The reversal of 364840 is 48463.

364840 = T₈₅ + T₈₆ + ... + T₁₄₀.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

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 364840.

It is an unprimeable number.

364840 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 372 + ... + 931.

It is an arithmetic number, because the mean of its divisors is an integer number (29340).

2³⁶⁴⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

364840 is an abundant number, since it is smaller than the sum of its proper divisors (574040).

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

364840 is a wasteful number, since it uses less digits than its factorization.

364840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 364840 is about 604.0198672229. The cubic root of 364840 is about 71.4552509860.

The spelling of 364840 in words is "three hundred sixty-four thousand, eight hundred forty".