693141120 has 192 divisors, whose sum is σ = 2735591040. Its totient is φ = 158423040.

The previous prime is 693141103. The next prime is 693141139. The reversal of 693141120 is 21141396.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×693141120² = 960889224469708800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31725 + ... + 48915.

It is an arithmetic number, because the mean of its divisors is an integer number (14247870).

Almost surely, 2^693141120 is an apocalyptic number.

693141120 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 693141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367795520).

693141120 is an abundant number, since it is smaller than the sum of its proper divisors (2042449920).

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

693141120 is a wasteful number, since it uses less digits than its factorization.

693141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17223 (or 17208 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 693141120 is about 26327.5733784943. The cubic root of 693141120 is about 884.9944651574.

The spelling of 693141120 in words is "six hundred ninety-three million, one hundred forty-one thousand, one hundred twenty".