616800393 has 32 divisors (see below), whose sum is σ = 998524800. Its totient is φ = 373190400.

The previous prime is 616800377. The next prime is 616800419. The reversal of 616800393 is 393008616.

It is a happy number.

616800393 is a `hidden beast` number, since 616 + 8 + 0 + 0 + 39 + 3 = 666.

It is not a de Polignac number, because 616800393 - 2⁴ = 616800377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (616800343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224653 + ... + 227381.

It is an arithmetic number, because the mean of its divisors is an integer number (31203900).

Almost surely, 2^616800393 is an apocalyptic number.

It is an amenable number.

616800393 is a deficient number, since it is larger than the sum of its proper divisors (381724407).

616800393 is a wasteful number, since it uses less digits than its factorization.

616800393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 616800393 is about 24835.4664341139. The cubic root of 616800393 is about 851.2325339427.

The spelling of 616800393 in words is "six hundred sixteen million, eight hundred thousand, three hundred ninety-three".