362064 has 40 divisors (see below), whose sum is σ = 987040. Its totient is φ = 114048.

The previous prime is 362059. The next prime is 362069. The reversal of 362064 is 460263.

362064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (362059) and next prime (362069).

It is a self number, because there is not a number n which added to its sum of digits gives 362064.

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 362064.

It is not an unprimeable number, because it can be changed into a prime (362069) by changing a digit.

362064 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, 714 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (24676).

2³⁶²⁰⁶⁴ 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 362064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493520).

362064 is an abundant number, since it is smaller than the sum of its proper divisors (624976).

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

362064 is a wasteful number, since it uses less digits than its factorization.

362064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 362064 is about 601.7175417087. The cubic root of 362064 is about 71.2735594605.

The spelling of 362064 in words is "three hundred sixty-two thousand, sixty-four".