10689840 has 240 divisors, whose sum is σ = 43256160. Its totient is φ = 2419200.

The previous prime is 10689829. The next prime is 10689841. The reversal of 10689840 is 4898601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10689840² = 228545358451200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10689795 and 10689804.

It is not an unprimeable number, because it can be changed into a prime (10689841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105790 + ... + 105890.

It is an arithmetic number, because the mean of its divisors is an integer number (180234).

Almost surely, 2^10689840 is an apocalyptic number.

10689840 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 10689840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21628080).

10689840 is an abundant number, since it is smaller than the sum of its proper divisors (32566320).

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

10689840 is a wasteful number, since it uses less digits than its factorization.

10689840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10689840 is about 3269.5320766128. The cubic root of 10689840 is about 220.2877776695.

The spelling of 10689840 in words is "ten million, six hundred eighty-nine thousand, eight hundred forty".