42120760 has 64 divisors (see below), whose sum is σ = 106984800. Its totient is φ = 14784000.

The previous prime is 42120721. The next prime is 42120769. The reversal of 42120760 is 6702124.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11110 + ... + 14410.

Almost surely, 2^42120760 is an apocalyptic number.

42120760 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 42120760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53492400).

42120760 is an abundant number, since it is smaller than the sum of its proper divisors (64864040).

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

42120760 is a wasteful number, since it uses less digits than its factorization.

42120760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 42120760 is about 6490.0508472584. The cubic root of 42120760 is about 347.9354925132.

Adding to 42120760 its reverse (6702124), we get a palindrome (48822884).

The spelling of 42120760 in words is "forty-two million, one hundred twenty thousand, seven hundred sixty".