42577920 has 416 divisors, whose sum is σ = 188720640. Its totient is φ = 8847360.

The previous prime is 42577891. The next prime is 42577937. The reversal of 42577920 is 2977524.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870715 + ... + 3870725.

Almost surely, 2^42577920 is an apocalyptic number.

42577920 is a gapful number since it is divisible by the number (40) 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 42577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94360320).

42577920 is an abundant number, since it is smaller than the sum of its proper divisors (146142720).

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

42577920 is a wasteful number, since it uses less digits than its factorization.

42577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 42577920 is about 6525.1758596991. The cubic root of 42577920 is about 349.1897447420.

The spelling of 42577920 in words is "forty-two million, five hundred seventy-seven thousand, nine hundred twenty".