42167190 has 48 divisors (see below), whose sum is σ = 109597968. Its totient is φ = 10378368.

The previous prime is 42167159. The next prime is 42167201. The reversal of 42167190 is 9176124.

It is a happy number.

42167190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42167190² = 3556143824992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 912 + ... + 9228.

It is an arithmetic number, because the mean of its divisors is an integer number (2283291).

Almost surely, 2^42167190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42167190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54798984).

42167190 is an abundant number, since it is smaller than the sum of its proper divisors (67430778).

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

42167190 is a wasteful number, since it uses less digits than its factorization.

42167190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8353 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 42167190 is about 6493.6268756374. The cubic root of 42167190 is about 348.0632894535.

The spelling of 42167190 in words is "forty-two million, one hundred sixty-seven thousand, one hundred ninety".