42824160 has 192 divisors, whose sum is σ = 156764160. Its totient is φ = 10897920.

The previous prime is 42824153. The next prime is 42824161. The reversal of 42824160 is 6142824.

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 (42824161) 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, 99145 + ... + 99575.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^42824160 is an apocalyptic number.

42824160 is a gapful number since it is divisible by the number (40) 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 42824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

42824160 is an abundant number, since it is smaller than the sum of its proper divisors (113940000).

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

42824160 is a wasteful number, since it uses less digits than its factorization.

42824160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

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

The square root of 42824160 is about 6544.0171148920. The cubic root of 42824160 is about 349.8616051479.

Adding to 42824160 its reverse (6142824), we get a palindrome (48966984).

The spelling of 42824160 in words is "forty-two million, eight hundred twenty-four thousand, one hundred sixty".