10742784 has 88 divisors (see below), whose sum is σ = 30950640. Its totient is φ = 3293184.

The previous prime is 10742783. The next prime is 10742791. The reversal of 10742784 is 48724701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742783) 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, 39802 + ... + 40070.

Almost surely, 2^10742784 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 10742784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475320).

10742784 is an abundant number, since it is smaller than the sum of its proper divisors (20207856).

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

10742784 is a wasteful number, since it uses less digits than its factorization.

10742784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 10742784 is about 3277.6186477380. The cubic root of 10742784 is about 220.6508549604.

The spelling of 10742784 in words is "ten million, seven hundred forty-two thousand, seven hundred eighty-four".