10688260 has 48 divisors (see below), whose sum is σ = 25784640. Its totient is φ = 3680640.

The previous prime is 10688239. The next prime is 10688281. The reversal of 10688260 is 6288601.

It is an interprime number because it is at equal distance from previous prime (10688239) and next prime (10688281).

It is a super-2 number, since 2×10688260² = 228477803655200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2902 + ... + 5458.

It is an arithmetic number, because the mean of its divisors is an integer number (537180).

Almost surely, 2^10688260 is an apocalyptic number.

10688260 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 10688260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12892320).

10688260 is an abundant number, since it is smaller than the sum of its proper divisors (15096380).

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

10688260 is a wasteful number, since it uses less digits than its factorization.

10688260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 10688260 is about 3269.2904428943. The cubic root of 10688260 is about 220.2769240042.

The spelling of 10688260 in words is "ten million, six hundred eighty-eight thousand, two hundred sixty".