42661248 has 128 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 11937792.

The previous prime is 42661247. The next prime is 42661271. The reversal of 42661248 is 84216624.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42661243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158458 + ... + 158726.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 2^42661248 is an apocalyptic number.

42661248 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 42661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

42661248 is an abundant number, since it is smaller than the sum of its proper divisors (89530752).

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

42661248 is a wasteful number, since it uses less digits than its factorization.

42661248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 42661248 is about 6531.5578539886. The cubic root of 42661248 is about 349.4173926391.

The spelling of 42661248 in words is "forty-two million, six hundred sixty-one thousand, two hundred forty-eight".