42077168 has 40 divisors (see below), whose sum is σ = 96184320. Its totient is φ = 17449920.

The previous prime is 42077141. The next prime is 42077171. The reversal of 42077168 is 86177024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2588 + ... + 9531.

It is an arithmetic number, because the mean of its divisors is an integer number (2404608).

Almost surely, 2^42077168 is an apocalyptic number.

It is an amenable number.

42077168 is an abundant number, since it is smaller than the sum of its proper divisors (54107152).

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

42077168 is a wasteful number, since it uses less digits than its factorization.

42077168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12165 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 42077168 is about 6486.6916066667. The cubic root of 42077168 is about 347.8154215607.

The spelling of 42077168 in words is "forty-two million, seventy-seven thousand, one hundred sixty-eight".