10740688 has 40 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 4488960.

The previous prime is 10740677. The next prime is 10740689. The reversal of 10740688 is 88604701.

It is a happy number.

10740688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10740689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3423 + ... + 5761.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^10740688 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 10740688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

10740688 is an abundant number, since it is smaller than the sum of its proper divisors (13632752).

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

10740688 is a wasteful number, since it uses less digits than its factorization.

10740688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 10740688 is about 3277.2988878038. The cubic root of 10740688 is about 220.6365037993.

The spelling of 10740688 in words is "ten million, seven hundred forty thousand, six hundred eighty-eight".