693907920 has 60 divisors (see below), whose sum is σ = 2330376516. Its totient is φ = 185041920.

The previous prime is 693907897. The next prime is 693907927. The reversal of 693907920 is 29709396.

It can be written as a sum of positive squares in 2 ways, for example, as 153066384 + 540841536 = 12372^2 + 23256^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693907927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481161 + ... + 482600.

Almost surely, 2^693907920 is an apocalyptic number.

693907920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

693907920 is an abundant number, since it is smaller than the sum of its proper divisors (1636468596).

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

693907920 is a wasteful number, since it uses less digits than its factorization.

693907920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963780 (or 963771 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 693907920 is about 26342.1320321647. The cubic root of 693907920 is about 885.3206919757.

The spelling of 693907920 in words is "six hundred ninety-three million, nine hundred seven thousand, nine hundred twenty".