693120 has 96 divisors (see below), whose sum is σ = 2331720. Its totient is φ = 175104.

The previous prime is 693103. The next prime is 693127. The reversal of 693120 is 21396.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693127) by changing a digit.

693120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36471 + ... + 36489.

2⁶⁹³¹²⁰ is an apocalyptic number.

693120 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 693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165860).

693120 is an abundant number, since it is smaller than the sum of its proper divisors (1638600).

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

693120 is a wasteful number, since it uses less digits than its factorization.

693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 693120 is about 832.5382874079. The cubic root of 693120 is about 88.4985476477.

The spelling of 693120 in words is "six hundred ninety-three thousand, one hundred twenty".