693887040 has 672 divisors, whose sum is σ = 3127248000. Its totient is φ = 143216640.

The previous prime is 693887039. The next prime is 693887059. The reversal of 693887040 is 40788396.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4656886 + ... + 4657034.

Almost surely, 2^693887040 is an apocalyptic number.

693887040 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 693887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563624000).

693887040 is an abundant number, since it is smaller than the sum of its proper divisors (2433360960).

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

693887040 is a wasteful number, since it uses less digits than its factorization.

693887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 693887040 is about 26341.7357059097. The cubic root of 693887040 is about 885.3118119879.

The spelling of 693887040 in words is "six hundred ninety-three million, eight hundred eighty-seven thousand, forty".