42553560 has 96 divisors (see below), whose sum is σ = 148523760. Its totient is φ = 9725184.

The previous prime is 42553549. The next prime is 42553561. The reversal of 42553560 is 6535524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42553561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2262 + ... + 9498.

Almost surely, 2^42553560 is an apocalyptic number.

42553560 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 42553560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74261880).

42553560 is an abundant number, since it is smaller than the sum of its proper divisors (105970200).

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

42553560 is a wasteful number, since it uses less digits than its factorization.

42553560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 42553560 is about 6523.3089762788. The cubic root of 42553560 is about 349.1231383498.

The spelling of 42553560 in words is "forty-two million, five hundred fifty-three thousand, five hundred sixty".