10688076 has 108 divisors (see below), whose sum is σ = 32242392. Its totient is φ = 2975616.

The previous prime is 10688063. The next prime is 10688107. The reversal of 10688076 is 67088601.

It is a super-2 number, since 2×10688076² = 228469937163552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10688076.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128731 + ... + 128813.

Almost surely, 2^10688076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10688076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121196).

10688076 is an abundant number, since it is smaller than the sum of its proper divisors (21554316).

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

10688076 is a wasteful number, since it uses less digits than its factorization.

10688076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 10688076 is about 3269.2623021104. The cubic root of 10688076 is about 220.2756599635.

The spelling of 10688076 in words is "ten million, six hundred eighty-eight thousand, seventy-six".