693840672 has 72 divisors (see below), whose sum is σ = 2254988736. Its totient is φ = 198239616.

The previous prime is 693840643. The next prime is 693840683. The reversal of 693840672 is 276048396.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×693840672³ (a number of 28 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 170068 + ... + 174099.

It is an arithmetic number, because the mean of its divisors is an integer number (31319288).

Almost surely, 2^693840672 is an apocalyptic number.

It is an amenable number.

693840672 is an abundant number, since it is smaller than the sum of its proper divisors (1561148064).

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

693840672 is a wasteful number, since it uses less digits than its factorization.

693840672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344190 (or 344179 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 693840672 is about 26340.8555669705. The cubic root of 693840672 is about 885.2920916540.

The spelling of 693840672 in words is "six hundred ninety-three million, eight hundred forty thousand, six hundred seventy-two".