693996000 has 192 divisors, whose sum is σ = 2294562816. Its totient is φ = 183360000.

The previous prime is 693995989. The next prime is 693996001. The reversal of 693996000 is 699396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693996001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811809 + ... + 1812191.

It is an arithmetic number, because the mean of its divisors is an integer number (11950848).

Almost surely, 2^693996000 is an apocalyptic number.

693996000 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 693996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147281408).

693996000 is an abundant number, since it is smaller than the sum of its proper divisors (1600566816).

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

693996000 is a wasteful number, since it uses less digits than its factorization.

693996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 693996000 is about 26343.8038255678. The cubic root of 693996000 is about 885.3581492738.

The spelling of 693996000 in words is "six hundred ninety-three million, nine hundred ninety-six thousand".