42025968 has 60 divisors (see below), whose sum is σ = 122737680. Its totient is φ = 13398528.

The previous prime is 42025939. The next prime is 42026009. The reversal of 42025968 is 86952024.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3033 + ... + 9656.

It is an arithmetic number, because the mean of its divisors is an integer number (2045628).

Almost surely, 2^42025968 is an apocalyptic number.

42025968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42025968 is an abundant number, since it is smaller than the sum of its proper divisors (80711712).

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

42025968 is a wasteful number, since it uses less digits than its factorization.

42025968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12726 (or 12717 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42025968 is about 6482.7438635195. The cubic root of 42025968 is about 347.6742889831.

The spelling of 42025968 in words is "forty-two million, twenty-five thousand, nine hundred sixty-eight".