10687120 has 80 divisors (see below), whose sum is σ = 26784000. Its totient is φ = 3953664.

The previous prime is 10687097. The next prime is 10687121. The reversal of 10687120 is 2178601.

10687120 = 285² + 286² + ... + 380².

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10687120² = 228429067788800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120036 + ... + 120124.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 2^10687120 is an apocalyptic number.

10687120 is a gapful number since it is divisible by the number (10) 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 10687120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392000).

10687120 is an abundant number, since it is smaller than the sum of its proper divisors (16096880).

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

10687120 is a wasteful number, since it uses less digits than its factorization.

10687120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 10687120 is about 3269.1160884863. The cubic root of 10687120 is about 220.2690922142.

The spelling of 10687120 in words is "ten million, six hundred eighty-seven thousand, one hundred twenty".