42795648 has 256 divisors, whose sum is σ = 151776000. Its totient is φ = 11612160.

The previous prime is 42795589. The next prime is 42795673. The reversal of 42795648 is 84659724.

It is a happy number.

Its product of digits (483840) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701538 + ... + 701598.

It is an arithmetic number, because the mean of its divisors is an integer number (592875).

Almost surely, 2^42795648 is an apocalyptic number.

42795648 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 42795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888000).

42795648 is an abundant number, since it is smaller than the sum of its proper divisors (108980352).

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

42795648 is a wasteful number, since it uses less digits than its factorization.

42795648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 42795648 is about 6541.8382737576. The cubic root of 42795648 is about 349.7839428445.

The spelling of 42795648 in words is "forty-two million, seven hundred ninety-five thousand, six hundred forty-eight".