42577020 has 72 divisors (see below), whose sum is σ = 131616576. Its totient is φ = 11137152.

The previous prime is 42577013. The next prime is 42577021. The reversal of 42577020 is 2077524.

42577020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42577021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7309 + ... + 11771.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^42577020 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 42577020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288).

42577020 is an abundant number, since it is smaller than the sum of its proper divisors (89039556).

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

42577020 is a wasteful number, since it uses less digits than its factorization.

42577020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 42577020 is about 6525.1068956761. The cubic root of 42577020 is about 349.1872843667.

The spelling of 42577020 in words is "forty-two million, five hundred seventy-seven thousand, twenty".