824068128 has 96 divisors (see below), whose sum is σ = 2338047936. Its totient is φ = 252638208.

The previous prime is 824068123. The next prime is 824068129. The reversal of 824068128 is 821860428.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (824068123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394575 + ... + 396657.

It is an arithmetic number, because the mean of its divisors is an integer number (24354666).

Almost surely, 2^824068128 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 824068128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169023968).

824068128 is an abundant number, since it is smaller than the sum of its proper divisors (1513979808).

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

824068128 is a wasteful number, since it uses less digits than its factorization.

824068128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 824068128 is about 28706.5868399571. The cubic root of 824068128 is about 937.5354664627.

The spelling of 824068128 in words is "eight hundred twenty-four million, sixty-eight thousand, one hundred twenty-eight".