42461568 has 192 divisors, whose sum is σ = 133660800. Its totient is φ = 12902400.

The previous prime is 42461567. The next prime is 42461569. The reversal of 42461568 is 86516424.

It is an interprime number because it is at equal distance from previous prime (42461567) and next prime (42461569).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42461567) 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 23 ways as a sum of consecutive naturals, for example, 1035628 + ... + 1035668.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 2^42461568 is an apocalyptic number.

42461568 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 42461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

42461568 is an abundant number, since it is smaller than the sum of its proper divisors (91199232).

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

42461568 is a wasteful number, since it uses less digits than its factorization.

42461568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42461568 is about 6516.2541386904. The cubic root of 42461568 is about 348.8713794943.

The spelling of 42461568 in words is "forty-two million, four hundred sixty-one thousand, five hundred sixty-eight".