693361944 has 240 divisors, whose sum is σ = 2201522400. Its totient is φ = 203575680.

The previous prime is 693361943. The next prime is 693361967. The reversal of 693361944 is 449163396.

693361944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 693361944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693361943) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2900977 + ... + 2901215.

It is an arithmetic number, because the mean of its divisors is an integer number (9173010).

Almost surely, 2^693361944 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 693361944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100761200).

693361944 is an abundant number, since it is smaller than the sum of its proper divisors (1508160456).

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

693361944 is a wasteful number, since it uses less digits than its factorization.

693361944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 693361944 is about 26331.7668226042. The cubic root of 693361944 is about 885.0884370112.

The spelling of 693361944 in words is "six hundred ninety-three million, three hundred sixty-one thousand, nine hundred forty-four".