824010642 has 96 divisors (see below), whose sum is σ = 2203673472. Its totient is φ = 216698112.

The previous prime is 824010623. The next prime is 824010667. The reversal of 824010642 is 246010428.

824010642 is a `hidden beast` number, since 8 + 2 + 4 + 0 + 10 + 642 = 666.

824010642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961078 + ... + 961934.

It is an arithmetic number, because the mean of its divisors is an integer number (22954932).

Almost surely, 2^824010642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824010642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101836736).

824010642 is an abundant number, since it is smaller than the sum of its proper divisors (1379662830).

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

824010642 is a wasteful number, since it uses less digits than its factorization.

824010642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 824010642 is about 28705.5855540346. The cubic root of 824010642 is about 937.5136655075.

The spelling of 824010642 in words is "eight hundred twenty-four million, ten thousand, six hundred forty-two".