824042160 has 480 divisors, whose sum is σ = 3184796160. Its totient is φ = 197074944.

The previous prime is 824042101. The next prime is 824042161. The reversal of 824042160 is 61240428.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824042161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8495232 + ... + 8495328.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2^824042160 is an apocalyptic number.

824042160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592398080).

824042160 is an abundant number, since it is smaller than the sum of its proper divisors (2360754000).

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

824042160 is a wasteful number, since it uses less digits than its factorization.

824042160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

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

The square root of 824042160 is about 28706.1345360186. The cubic root of 824042160 is about 937.5256184999.

Adding to 824042160 its reverse (61240428), we get a palindrome (885282588).

The spelling of 824042160 in words is "eight hundred twenty-four million, forty-two thousand, one hundred sixty".