42547120 has 80 divisors (see below), whose sum is σ = 123349248. Its totient is φ = 13259520.

The previous prime is 42547117. The next prime is 42547123. The reversal of 42547120 is 2174524.

It is an interprime number because it is at equal distance from previous prime (42547117) and next prime (42547123).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42547123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2707 + ... + 9613.

Almost surely, 2^42547120 is an apocalyptic number.

42547120 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 42547120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61674624).

42547120 is an abundant number, since it is smaller than the sum of its proper divisors (80802128).

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

42547120 is a wasteful number, since it uses less digits than its factorization.

42547120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6938 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 42547120 is about 6522.8153430861. The cubic root of 42547120 is about 349.1055255152.

The spelling of 42547120 in words is "forty-two million, five hundred forty-seven thousand, one hundred twenty".