393600896 has 64 divisors (see below), whose sum is σ = 860569920. Its totient is φ = 178194432.

The previous prime is 393600871. The next prime is 393600901. The reversal of 393600896 is 698006393.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85961 + ... + 90423.

It is an arithmetic number, because the mean of its divisors is an integer number (13446405).

Almost surely, 2^393600896 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 393600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430284960).

393600896 is an abundant number, since it is smaller than the sum of its proper divisors (466969024).

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

393600896 is a wasteful number, since it uses less digits than its factorization.

393600896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 393600896 is about 19839.3774095862. The cubic root of 393600896 is about 732.8560758751.

The spelling of 393600896 in words is "three hundred ninety-three million, six hundred thousand, eight hundred ninety-six".