42557760 has 168 divisors, whose sum is σ = 167371776. Its totient is φ = 9722880.

The previous prime is 42557747. The next prime is 42557791. The reversal of 42557760 is 6775524.

42557760 is a `hidden beast` number, since 4 + 25 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×42557760² = 3622325872435200, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19105 + ... + 21215.

Almost surely, 2^42557760 is an apocalyptic number.

42557760 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 42557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83685888).

42557760 is an abundant number, since it is smaller than the sum of its proper divisors (124814016).

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

42557760 is a wasteful number, since it uses less digits than its factorization.

42557760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 42557760 is about 6523.6308908460. The cubic root of 42557760 is about 349.1346240237.

It can be divided in two parts, 425 and 57760, that added together give a palindrome (58185).

The spelling of 42557760 in words is "forty-two million, five hundred fifty-seven thousand, seven hundred sixty".