42621768 has 96 divisors (see below), whose sum is σ = 137757600. Its totient is φ = 12174624.

The previous prime is 42621749. The next prime is 42621791. The reversal of 42621768 is 86712624.

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

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

It is an unprimeable number.

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, 8571 + ... + 12597.

It is an arithmetic number, because the mean of its divisors is an integer number (1434975).

Almost surely, 2^42621768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42621768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68878800).

42621768 is an abundant number, since it is smaller than the sum of its proper divisors (95135832).

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

42621768 is a wasteful number, since it uses less digits than its factorization.

42621768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4039 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 42621768 is about 6528.5349045555. The cubic root of 42621768 is about 349.3095722561.

The spelling of 42621768 in words is "forty-two million, six hundred twenty-one thousand, seven hundred sixty-eight".