693696000 has 160 divisors (see below), whose sum is σ = 2307004128. Its totient is φ = 184934400.

The previous prime is 693695987. The next prime is 693696013. The reversal of 693696000 is 696396.

It is an interprime number because it is at equal distance from previous prime (693695987) and next prime (693696013).

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 693696000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190194 + ... + 193806.

Almost surely, 2^693696000 is an apocalyptic number.

693696000 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 693696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153502064).

693696000 is an abundant number, since it is smaller than the sum of its proper divisors (1613308128).

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

693696000 is an equidigital number, since it uses as much as digits as its factorization.

693696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 693696000 is about 26338.1092715479. The cubic root of 693696000 is about 885.2305569312.

The spelling of 693696000 in words is "six hundred ninety-three million, six hundred ninety-six thousand".