42605332 has 96 divisors (see below), whose sum is σ = 100638720. Its totient is φ = 15275520.

The previous prime is 42605323. The next prime is 42605351. The reversal of 42605332 is 23350624.

42605332 = T₃₆₃ + T₃₆₄ + ... + T₆₇₁.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42605297 and 42605306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413593 + ... + 413695.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^42605332 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 42605332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

42605332 is an abundant number, since it is smaller than the sum of its proper divisors (58033388).

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

42605332 is a wasteful number, since it uses less digits than its factorization.

42605332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 42605332 is about 6527.2760015186. The cubic root of 42605332 is about 349.2646657014.

Adding to 42605332 its reverse (23350624), we get a palindrome (65955956).

The spelling of 42605332 in words is "forty-two million, six hundred five thousand, three hundred thirty-two".