10687320 has 96 divisors (see below), whose sum is σ = 39705120. Its totient is φ = 2442240.

The previous prime is 10687309. The next prime is 10687331. The reversal of 10687320 is 2378601.

It is an interprime number because it is at equal distance from previous prime (10687309) and next prime (10687331).

It is a super-2 number, since 2×10687320² = 228437617564800, which contains 22 as substring.

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, 400 + ... + 4640.

It is an arithmetic number, because the mean of its divisors is an integer number (413595).

Almost surely, 2^10687320 is an apocalyptic number.

10687320 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 10687320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19852560).

10687320 is an abundant number, since it is smaller than the sum of its proper divisors (29017800).

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

10687320 is a wasteful number, since it uses less digits than its factorization.

10687320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10687320 is about 3269.1466776515. The cubic root of 10687320 is about 220.2704662527.

The spelling of 10687320 in words is "ten million, six hundred eighty-seven thousand, three hundred twenty".