364608 has 56 divisors (see below), whose sum is σ = 1076960. Its totient is φ = 120960.

The previous prime is 364607. The next prime is 364621. The reversal of 364608 is 806463.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (364601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1623 + ... + 1833.

2³⁶⁴⁶⁰⁸ 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 364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538480).

364608 is an abundant number, since it is smaller than the sum of its proper divisors (712352).

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

364608 is a wasteful number, since it uses less digits than its factorization.

364608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 364608 is about 603.8277900196. The cubic root of 364608 is about 71.4401017577.

The spelling of 364608 in words is "three hundred sixty-four thousand, six hundred eight".