10689120 has 144 divisors (see below), whose sum is σ = 39351312. Its totient is φ = 2626560.

The previous prime is 10689103. The next prime is 10689127. The reversal of 10689120 is 2198601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10689120² = 228514572748800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10689127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18435 + ... + 19005.

It is an arithmetic number, because the mean of its divisors is an integer number (273273).

Almost surely, 2^10689120 is an apocalyptic number.

10689120 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 10689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19675656).

10689120 is an abundant number, since it is smaller than the sum of its proper divisors (28662192).

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

10689120 is a wasteful number, since it uses less digits than its factorization.

10689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10689120 is about 3269.4219672597. The cubic root of 10689120 is about 220.2828318281.

The spelling of 10689120 in words is "ten million, six hundred eighty-nine thousand, one hundred twenty".