42967584 has 180 divisors, whose sum is σ = 139912542. Its totient is φ = 12925440.

The previous prime is 42967559. The next prime is 42967601. The reversal of 42967584 is 48576924.

42967584 = 7³ + 8³ + ... + 114³.

It is a happy number.

42967584 is a `hidden beast` number, since 4 + 2 + 9 + 67 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35283600 + 7683984 = 5940^2 + 2772^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 313564 + ... + 313700.

Almost surely, 2^42967584 is an apocalyptic number.

42967584 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 42967584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69956271).

42967584 is an abundant number, since it is smaller than the sum of its proper divisors (96944958).

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

42967584 is a wasteful number, since it uses less digits than its factorization.

42967584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

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

The square root of 42967584 is about 6554.9663614698. The cubic root of 42967584 is about 350.2517481308.

The spelling of 42967584 in words is "forty-two million, nine hundred sixty-seven thousand, five hundred eighty-four".