693013680 has 240 divisors, whose sum is σ = 2446629120. Its totient is φ = 175564800.

The previous prime is 693013669. The next prime is 693013691. The reversal of 693013680 is 86310396.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (693013669) and next prime (693013691).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1361266 + ... + 1361774.

It is an arithmetic number, because the mean of its divisors is an integer number (10194288).

Almost surely, 2^693013680 is an apocalyptic number.

693013680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223314560).

693013680 is an abundant number, since it is smaller than the sum of its proper divisors (1753615440).

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

693013680 is a wasteful number, since it uses less digits than its factorization.

693013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

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

The square root of 693013680 is about 26325.1529910084. The cubic root of 693013680 is about 884.9402238665.

The spelling of 693013680 in words is "six hundred ninety-three million, thirteen thousand, six hundred eighty".