42805632 has 64 divisors (see below), whose sum is σ = 119707200. Its totient is φ = 13515264.

The previous prime is 42805619. The next prime is 42805639. The reversal of 42805632 is 23650824.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 42805632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42805639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4363 + ... + 10229.

It is an arithmetic number, because the mean of its divisors is an integer number (1870425).

Almost surely, 2^42805632 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 42805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59853600).

42805632 is an abundant number, since it is smaller than the sum of its proper divisors (76901568).

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

42805632 is a wasteful number, since it uses less digits than its factorization.

42805632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42805632 is about 6542.6013175189. The cubic root of 42805632 is about 349.8111416487.

The spelling of 42805632 in words is "forty-two million, eight hundred five thousand, six hundred thirty-two".