42033168 has 120 divisors (see below), whose sum is σ = 128637600. Its totient is φ = 13250304.

The previous prime is 42033161. The next prime is 42033191. The reversal of 42033168 is 86133024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42033161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73588 + ... + 74156.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

Almost surely, 2^42033168 is an apocalyptic number.

42033168 is a gapful number since it is divisible by the number (48) 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 42033168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64318800).

42033168 is an abundant number, since it is smaller than the sum of its proper divisors (86604432).

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

42033168 is a wasteful number, since it uses less digits than its factorization.

42033168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42033168 is about 6483.2991601499. The cubic root of 42033168 is about 347.6941426756.

The spelling of 42033168 in words is "forty-two million, thirty-three thousand, one hundred sixty-eight".