693948960 has 72 divisors (see below), whose sum is σ = 2368105740. Its totient is φ = 185052672.

The previous prime is 693948953. The next prime is 693949001. The reversal of 693948960 is 69849396.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 676208016 + 17740944 = 26004^2 + 4212^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 693948897 and 693948906.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239515 + ... + 242394.

Almost surely, 2^693948960 is an apocalyptic number.

693948960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

693948960 is an abundant number, since it is smaller than the sum of its proper divisors (1674156780).

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

693948960 is a wasteful number, since it uses less digits than its factorization.

693948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481930 (or 481919 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 693948960 is about 26342.9110008746. The cubic root of 693948960 is about 885.3381452255.

The spelling of 693948960 in words is "six hundred ninety-three million, nine hundred forty-eight thousand, nine hundred sixty".