364606112 has 48 divisors (see below), whose sum is σ = 791926632. Its totient is φ = 164167680.

The previous prime is 364606091. The next prime is 364606127. The reversal of 364606112 is 211606463.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65869456 + 298736656 = 8116^2 + 17284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6368 + ... + 27744.

Almost surely, 2^364606112 is an apocalyptic number.

364606112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364606112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395963316).

364606112 is an abundant number, since it is smaller than the sum of its proper divisors (427320520).

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

364606112 is a wasteful number, since it uses less digits than its factorization.

364606112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21441 (or 21433 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 364606112 is about 19094.6618718426. The cubic root of 364606112 is about 714.3997844794.

The spelling of 364606112 in words is "three hundred sixty-four million, six hundred six thousand, one hundred twelve".