42203760 has 80 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 10977280.

The previous prime is 42203753. The next prime is 42203761. The reversal of 42203760 is 6730224.

42203760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42203760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42203761) 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 15 ways as a sum of consecutive naturals, for example, 7696 + ... + 11984.

It is an arithmetic number, because the mean of its divisors is an integer number (1675674).

Almost surely, 2^42203760 is an apocalyptic number.

42203760 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 42203760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

42203760 is an abundant number, since it is smaller than the sum of its proper divisors (91850160).

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

42203760 is a wasteful number, since it uses less digits than its factorization.

42203760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 42203760 is about 6496.4421031823. The cubic root of 42203760 is about 348.1638810633.

Adding to 42203760 its reverse (6730224), we get a palindrome (48933984).

The spelling of 42203760 in words is "forty-two million, two hundred three thousand, seven hundred sixty".