10442784 has 144 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 2956800.

The previous prime is 10442779. The next prime is 10442791. The reversal of 10442784 is 48724401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336849 + ... + 336879.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 2^10442784 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 10442784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

10442784 is an abundant number, since it is smaller than the sum of its proper divisors (21732576).

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

10442784 is a wasteful number, since it uses less digits than its factorization.

10442784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 10442784 is about 3231.5296687482. The cubic root of 10442784 is about 218.5774885878.

It can be divided in two parts, 1044 and 2784, that added together give a triangular number (3828 = T₈₇).

The spelling of 10442784 in words is "ten million, four hundred forty-two thousand, seven hundred eighty-four".