693616320 has 336 divisors, whose sum is σ = 2613282048. Its totient is φ = 168099840.

The previous prime is 693616283. The next prime is 693616321. The reversal of 693616320 is 23616396.

693616320 is a `hidden beast` number, since 6 + 9 + 3 + 616 + 32 + 0 = 666.

It is a super-2 number, since 2×693616320² = 962207198740684800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693616321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1517532 + ... + 1517988.

Almost surely, 2^693616320 is an apocalyptic number.

693616320 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 693616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306641024).

693616320 is an abundant number, since it is smaller than the sum of its proper divisors (1919665728).

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

693616320 is a wasteful number, since it uses less digits than its factorization.

693616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 693616320 is about 26336.5965910556. The cubic root of 693616320 is about 885.1966622224.

The spelling of 693616320 in words is "six hundred ninety-three million, six hundred sixteen thousand, three hundred twenty".