42123620 has 96 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 12349440.

The previous prime is 42123619. The next prime is 42123623. The reversal of 42123620 is 2632124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42123592 and 42123601.

It is not an unprimeable number, because it can be changed into a prime (42123623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25376 + ... + 26984.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 2^42123620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42123620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58423680).

42123620 is an abundant number, since it is smaller than the sum of its proper divisors (74723740).

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

42123620 is a wasteful number, since it uses less digits than its factorization.

42123620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 42123620 is about 6490.2711807751. The cubic root of 42123620 is about 347.9433672761.

Adding to 42123620 its reverse (2632124), we get a palindrome (44755744).

The spelling of 42123620 in words is "forty-two million, one hundred twenty-three thousand, six hundred twenty".