42030090 has 80 divisors (see below), whose sum is σ = 119005920. Its totient is φ = 10614240.

The previous prime is 42030089. The next prime is 42030097. The reversal of 42030090 is 9003024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (42030097) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14025 + ... + 16755.

It is an arithmetic number, because the mean of its divisors is an integer number (1487574).

Almost surely, 2^42030090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42030090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59502960).

42030090 is an abundant number, since it is smaller than the sum of its proper divisors (76975830).

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

42030090 is a wasteful number, since it uses less digits than its factorization.

42030090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 42030090 is about 6483.0617766608. The cubic root of 42030090 is about 347.6856554995.

The spelling of 42030090 in words is "forty-two million, thirty thousand, ninety".