42033664 has 40 divisors (see below), whose sum is σ = 85625100. Its totient is φ = 20606976.

The previous prime is 42033659. The next prime is 42033679. The reversal of 42033664 is 46633024.

It can be written as a sum of positive squares in 2 ways, for example, as 41990400 + 43264 = 6480^2 + 208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26362 + ... + 27910.

Almost surely, 2^42033664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42812550).

42033664 is an abundant number, since it is smaller than the sum of its proper divisors (43591436).

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

42033664 is an equidigital number, since it uses as much as digits as its factorization.

42033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 42033664 is about 6483.3374121667. The cubic root of 42033664 is about 347.6955102910.

Adding to 42033664 its reverse (46633024), we get a palindrome (88666688).

The spelling of 42033664 in words is "forty-two million, thirty-three thousand, six hundred sixty-four".