127830042 has 64 divisors (see below), whose sum is σ = 294503040. Its totient is φ = 41067648.

The previous prime is 127830041. The next prime is 127830061. The reversal of 127830042 is 240038721.

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

It is a junction number, because it is equal to n+sod(n) for n = 127829988 and 127830015.

It is not an unprimeable number, because it can be changed into a prime (127830041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273493 + ... + 273959.

It is an arithmetic number, because the mean of its divisors is an integer number (4601610).

Almost surely, 2^127830042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127830042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147251520).

127830042 is an abundant number, since it is smaller than the sum of its proper divisors (166672998).

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

127830042 is a wasteful number, since it uses less digits than its factorization.

127830042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 127830042 is about 11306.1948506118. The cubic root of 127830042 is about 503.7452652630.

Adding to 127830042 its reverse (240038721), we get a palindrome (367868763).

The spelling of 127830042 in words is "one hundred twenty-seven million, eight hundred thirty thousand, forty-two".