10689252 has 72 divisors (see below), whose sum is σ = 29647296. Its totient is φ = 2996448.

The previous prime is 10689251. The next prime is 10689269. The reversal of 10689252 is 25298601.

It is a super-2 number, since 2×10689252² = 228520216639008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10689251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201658 + ... + 201710.

It is an arithmetic number, because the mean of its divisors is an integer number (411768).

Almost surely, 2^10689252 is an apocalyptic number.

10689252 is a gapful number since it is divisible by the number (12) 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 10689252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14823648).

10689252 is an abundant number, since it is smaller than the sum of its proper divisors (18958044).

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

10689252 is an frugal number, since it uses more digits than its factorization.

10689252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10689252 is about 3269.4421542520. The cubic root of 10689252 is about 220.2837385823.

The spelling of 10689252 in words is "ten million, six hundred eighty-nine thousand, two hundred fifty-two".