42190920 has 96 divisors (see below), whose sum is σ = 138153600. Its totient is φ = 11166336.

The previous prime is 42190903. The next prime is 42190937. The reversal of 42190920 is 2909124.

It is an interprime number because it is at equal distance from previous prime (42190903) and next prime (42190937).

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, 58321 + ... + 59039.

It is an arithmetic number, because the mean of its divisors is an integer number (1439100).

Almost surely, 2^42190920 is an apocalyptic number.

42190920 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 42190920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69076800).

42190920 is an abundant number, since it is smaller than the sum of its proper divisors (95962680).

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

42190920 is a wasteful number, since it uses less digits than its factorization.

42190920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 42190920 is about 6495.4537947706. The cubic root of 42190920 is about 348.1285692201.

The spelling of 42190920 in words is "forty-two million, one hundred ninety thousand, nine hundred twenty".