42077016 has 64 divisors (see below), whose sum is σ = 118339200. Its totient is φ = 13850784.

The previous prime is 42077003. The next prime is 42077027. The reversal of 42077016 is 61077024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16755 + ... + 19101.

It is an arithmetic number, because the mean of its divisors is an integer number (1849050).

Almost surely, 2^42077016 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 42077016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59169600).

42077016 is an abundant number, since it is smaller than the sum of its proper divisors (76262184).

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

42077016 is a wasteful number, since it uses less digits than its factorization.

42077016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 42077016 is about 6486.6798903599. The cubic root of 42077016 is about 347.8150027428.

The spelling of 42077016 in words is "forty-two million, seventy-seven thousand, sixteen".