42021760 has 128 divisors (see below), whose sum is σ = 112803840. Its totient is φ = 14837760.

The previous prime is 42021743. The next prime is 42021779. The reversal of 42021760 is 6712024.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330817 + ... + 330943.

It is an arithmetic number, because the mean of its divisors is an integer number (881280).

Almost surely, 2^42021760 is an apocalyptic number.

42021760 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 42021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56401920).

42021760 is an abundant number, since it is smaller than the sum of its proper divisors (70782080).

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

42021760 is a wasteful number, since it uses less digits than its factorization.

42021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

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

The square root of 42021760 is about 6482.4193014645. The cubic root of 42021760 is about 347.6626845529.

Adding to 42021760 its reverse (6712024), we get a palindrome (48733784).

The spelling of 42021760 in words is "forty-two million, twenty-one thousand, seven hundred sixty".