42774816 has 96 divisors (see below), whose sum is σ = 130854528. Its totient is φ = 11980800.

The previous prime is 42774803. The next prime is 42774817. The reversal of 42774816 is 61847724.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (42774817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35016 + ... + 36216.

It is an arithmetic number, because the mean of its divisors is an integer number (1363068).

Almost surely, 2^42774816 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 42774816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65427264).

42774816 is an abundant number, since it is smaller than the sum of its proper divisors (88079712).

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

42774816 is a wasteful number, since it uses less digits than its factorization.

42774816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1266 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 42774816 is about 6540.2458669380. The cubic root of 42774816 is about 349.7271778688.

The spelling of 42774816 in words is "forty-two million, seven hundred seventy-four thousand, eight hundred sixteen".