42820000 has 60 divisors (see below), whose sum is σ = 105392826. Its totient is φ = 17120000.

The previous prime is 42819943. The next prime is 42820003. The reversal of 42820000 is 2824.

It can be written as a sum of positive squares in 5 ways, for example, as 6290064 + 36529936 = 2508^2 + 6044^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (42820003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18930 + ... + 21070.

Almost surely, 2^42820000 is an apocalyptic number.

42820000 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 42820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52696413).

42820000 is an abundant number, since it is smaller than the sum of its proper divisors (62572826).

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

42820000 is an equidigital number, since it uses as much as digits as its factorization.

42820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42820000 is about 6543.6992595932. The cubic root of 42820000 is about 349.8502760959.

Adding to 42820000 its reverse (2824), we get a palindrome (42822824).

The spelling of 42820000 in words is "forty-two million, eight hundred twenty thousand".