42164000 has 96 divisors (see below), whose sum is σ = 105670656. Its totient is φ = 16531200.

The previous prime is 42163981. The next prime is 42164039. The reversal of 42164000 is 46124.

It is a self number, because there is not a number n which added to its sum of digits gives 42164000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331937 + ... + 332063.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^42164000 is an apocalyptic number.

42164000 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 42164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

42164000 is an abundant number, since it is smaller than the sum of its proper divisors (63506656).

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

42164000 is a wasteful number, since it uses less digits than its factorization.

42164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42164000 is about 6493.3812455453. The cubic root of 42164000 is about 348.0545120930.

The spelling of 42164000 in words is "forty-two million, one hundred sixty-four thousand".