824064738 has 64 divisors (see below), whose sum is σ = 1923305472. Its totient is φ = 230518080.

The previous prime is 824064679. The next prime is 824064739. The reversal of 824064738 is 837460428.

824064738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 824064738.

It is not an unprimeable number, because it can be changed into a prime (824064739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673195 + ... + 674417.

It is an arithmetic number, because the mean of its divisors is an integer number (30051648).

Almost surely, 2^824064738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824064738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961652736).

824064738 is an abundant number, since it is smaller than the sum of its proper divisors (1099240734).

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

824064738 is a wasteful number, since it uses less digits than its factorization.

824064738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559.

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 824064738 is about 28706.5277942143. The cubic root of 824064738 is about 937.5341808693.

The spelling of 824064738 in words is "eight hundred twenty-four million, sixty-four thousand, seven hundred thirty-eight".