687093120 has 192 divisors, whose sum is σ = 2711723040. Its totient is φ = 157040640.

The previous prime is 687093109. The next prime is 687093137. The reversal of 687093120 is 21390786.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 31800 + ... + 48840.

Almost surely, 2^687093120 is an apocalyptic number.

687093120 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 687093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355861520).

687093120 is an abundant number, since it is smaller than the sum of its proper divisors (2024629920).

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

687093120 is a wasteful number, since it uses less digits than its factorization.

687093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17073 (or 17058 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 687093120 is about 26212.4611587695. The cubic root of 687093120 is about 882.4129369715.

The spelling of 687093120 in words is "six hundred eighty-seven million, ninety-three thousand, one hundred twenty".