10448784 has 120 divisors (see below), whose sum is σ = 32125920. Its totient is φ = 3250368.

The previous prime is 10448783. The next prime is 10448797. The reversal of 10448784 is 48784401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10448783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155919 + ... + 155985.

It is an arithmetic number, because the mean of its divisors is an integer number (267716).

Almost surely, 2^10448784 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 10448784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16062960).

10448784 is an abundant number, since it is smaller than the sum of its proper divisors (21677136).

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

10448784 is a wasteful number, since it uses less digits than its factorization.

10448784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 10448784 is about 3232.4578883568. The cubic root of 10448784 is about 218.6193424919.

The spelling of 10448784 in words is "ten million, four hundred forty-eight thousand, seven hundred eighty-four".