42769584 has 240 divisors, whose sum is σ = 147323904. Its totient is φ = 11404800.

The previous prime is 42769583. The next prime is 42769591. The reversal of 42769584 is 48596724.

It is a happy number.

42769584 is a `hidden beast` number, since 4 + 2 + 7 + 69 + 584 = 666.

It is not an unprimeable number, because it can be changed into a prime (42769583) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 638319 + ... + 638385.

Almost surely, 2^42769584 is an apocalyptic number.

42769584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42769584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73661952).

42769584 is an abundant number, since it is smaller than the sum of its proper divisors (104554320).

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

42769584 is a wasteful number, since it uses less digits than its factorization.

42769584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 42769584 is about 6539.8458697434. The cubic root of 42769584 is about 349.7129183319.

The spelling of 42769584 in words is "forty-two million, seven hundred sixty-nine thousand, five hundred eighty-four".