42766176 has 48 divisors (see below), whose sum is σ = 113702400. Its totient is φ = 14072448.

The previous prime is 42766103. The next prime is 42766181. The reversal of 42766176 is 67166724.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4765 + ... + 10403.

It is an arithmetic number, because the mean of its divisors is an integer number (2368800).

Almost surely, 2^42766176 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 42766176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56851200).

42766176 is an abundant number, since it is smaller than the sum of its proper divisors (70936224).

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

42766176 is a wasteful number, since it uses less digits than its factorization.

42766176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731 (or 5723 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 42766176 is about 6539.5853079534. The cubic root of 42766176 is about 349.7036293843.

The spelling of 42766176 in words is "forty-two million, seven hundred sixty-six thousand, one hundred seventy-six".