10688314 has 16 divisors (see below), whose sum is σ = 19732608. Its totient is φ = 4228272.

The previous prime is 10688311. The next prime is 10688323. The reversal of 10688314 is 41388601.

10688314 = T₁₃₂ + T₁₃₃ + ... + T₄₀₄.

10688314 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10688314² = 228480112325192, which contains 22 as substring.

10688314 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10688311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29182 + ... + 29545.

It is an arithmetic number, because the mean of its divisors is an integer number (1233288).

Almost surely, 2^10688314 is an apocalyptic number.

10688314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10688314 is a deficient number, since it is larger than the sum of its proper divisors (9044294).

10688314 is a wasteful number, since it uses less digits than its factorization.

10688314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58749.

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

The square root of 10688314 is about 3269.2987015567. The cubic root of 10688314 is about 220.2772949699.

The spelling of 10688314 in words is "ten million, six hundred eighty-eight thousand, three hundred fourteen".