10689888 has 96 divisors (see below), whose sum is σ = 31352832. Its totient is φ = 3161600.

The previous prime is 10689883. The next prime is 10689907. The reversal of 10689888 is 88898601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10689888² = 228547410905088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10689881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55873 + ... + 56063.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 2^10689888 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 10689888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416).

10689888 is an abundant number, since it is smaller than the sum of its proper divisors (20662944).

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

10689888 is a wasteful number, since it uses less digits than its factorization.

10689888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The square root of 10689888 is about 3269.5394171045. The cubic root of 10689888 is about 220.2881073844.

It can be divided in two parts, 106 and 89888, that multiplied together give a cube (9528128 = 212³).

The spelling of 10689888 in words is "ten million, six hundred eighty-nine thousand, eight hundred eighty-eight".