42968024 has 64 divisors (see below), whose sum is σ = 92340000. Its totient is φ = 18565120.

The previous prime is 42968017. The next prime is 42968047. The reversal of 42968024 is 42086924.

42968024 = 2³ + 3³ + ... + 114³.

It is a Cunningham number, because it is equal to 6555²-1.

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, 288302 + ... + 288450.

Almost surely, 2^42968024 is an apocalyptic number.

42968024 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 42968024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46170000).

42968024 is an abundant number, since it is smaller than the sum of its proper divisors (49371976).

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

42968024 is a wasteful number, since it uses less digits than its factorization.

42968024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 42968024 is about 6554.9999237223. Note that the first 4 decimals coincide. The cubic root of 42968024 is about 350.2529436851.

The spelling of 42968024 in words is "forty-two million, nine hundred sixty-eight thousand, twenty-four".