693376320 has 224 divisors, whose sum is σ = 2709842688. Its totient is φ = 146276352.

The previous prime is 693376309. The next prime is 693376339. The reversal of 693376320 is 23673396.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×693376320² = 961541442273484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83392 + ... + 91328.

It is an arithmetic number, because the mean of its divisors is an integer number (12097512).

Almost surely, 2^693376320 is an apocalyptic number.

693376320 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 693376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354921344).

693376320 is an abundant number, since it is smaller than the sum of its proper divisors (2016466368).

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

693376320 is a wasteful number, since it uses less digits than its factorization.

693376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7977 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 39.

The square root of 693376320 is about 26332.0397994534. The cubic root of 693376320 is about 885.0945540393.

It can be divided in two parts, 69337 and 6320, that added together give a palindrome (75657).

The spelling of 693376320 in words is "six hundred ninety-three million, three hundred seventy-six thousand, three hundred twenty".