10688070 has 64 divisors (see below), whose sum is σ = 28615680. Its totient is φ = 2539008.

The previous prime is 10688063. The next prime is 10688107. The reversal of 10688070 is 7088601.

10688070 = 741² + 742² + ... + 759².

It is a super-2 number, since 2×10688070² = 228469680649800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9139 + ... + 10241.

It is an arithmetic number, because the mean of its divisors is an integer number (447120).

Almost surely, 2^10688070 is an apocalyptic number.

10688070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10688070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307840).

10688070 is an abundant number, since it is smaller than the sum of its proper divisors (17927610).

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

10688070 is a wasteful number, since it uses less digits than its factorization.

10688070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 10688070 is about 3269.2613844720. The cubic root of 10688070 is about 220.2756187445.

The spelling of 10688070 in words is "ten million, six hundred eighty-eight thousand, seventy".