42090966 has 48 divisors (see below), whose sum is σ = 100189440. Its totient is φ = 12711600.

The previous prime is 42090949. The next prime is 42090973. The reversal of 42090966 is 66909024.

It is a self number, because there is not a number n which added to its sum of digits gives 42090966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5191 + ... + 10541.

It is an arithmetic number, because the mean of its divisors is an integer number (2087280).

Almost surely, 2^42090966 is an apocalyptic number.

42090966 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42090966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50094720).

42090966 is an abundant number, since it is smaller than the sum of its proper divisors (58098474).

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

42090966 is a wasteful number, since it uses less digits than its factorization.

42090966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 42090966 is about 6487.7550816904. The cubic root of 42090966 is about 347.8534361018.

The spelling of 42090966 in words is "forty-two million, ninety thousand, nine hundred sixty-six".