42753648 has 160 divisors (see below), whose sum is σ = 137213440. Its totient is φ = 11197440.

The previous prime is 42753647. The next prime is 42753673. The reversal of 42753648 is 84635724.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42753647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236118 + ... + 236298.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 2^42753648 is an apocalyptic number.

42753648 is a gapful number since it is divisible by the number (48) 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 42753648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68606720).

42753648 is an abundant number, since it is smaller than the sum of its proper divisors (94459792).

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

42753648 is a wasteful number, since it uses less digits than its factorization.

42753648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 42753648 is about 6538.6273788923. The cubic root of 42753648 is about 349.6694784473.

The spelling of 42753648 in words is "forty-two million, seven hundred fifty-three thousand, six hundred forty-eight".