824642840 has 128 divisors (see below), whose sum is σ = 2248041600. Its totient is φ = 266219520.

The previous prime is 824642813. The next prime is 824642857. The reversal of 824642840 is 48246428.

It is a junction number, because it is equal to n+sod(n) for n = 824642794 and 824642803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331682 + ... + 334158.

It is an arithmetic number, because the mean of its divisors is an integer number (17562825).

Almost surely, 2^824642840 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 824642840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124020800).

824642840 is an abundant number, since it is smaller than the sum of its proper divisors (1423398760).

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

824642840 is a wasteful number, since it uses less digits than its factorization.

824642840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 824642840 is about 28716.5952020778. The cubic root of 824642840 is about 937.7533641727.

The spelling of 824642840 in words is "eight hundred twenty-four million, six hundred forty-two thousand, eight hundred forty".