364206656 has 112 divisors (see below), whose sum is σ = 835688448. Its totient is φ = 155865600.

The previous prime is 364206643. The next prime is 364206701. The reversal of 364206656 is 656602463.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1343801 + ... + 1344071.

It is an arithmetic number, because the mean of its divisors is an integer number (7461504).

Almost surely, 2^364206656 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 364206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417844224).

364206656 is an abundant number, since it is smaller than the sum of its proper divisors (471481792).

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

364206656 is a wasteful number, since it uses less digits than its factorization.

364206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 364206656 is about 19084.1991186426. The cubic root of 364206656 is about 714.1387945596.

The spelling of 364206656 in words is "three hundred sixty-four million, two hundred six thousand, six hundred fifty-six".