42968880 has 200 divisors, whose sum is σ = 157542000. Its totient is φ = 10824192.

The previous prime is 42968879. The next prime is 42968897. The reversal of 42968880 is 8886924.

It is a happy number.

42968880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122946 + ... + 123294.

It is an arithmetic number, because the mean of its divisors is an integer number (787710).

Almost surely, 2^42968880 is an apocalyptic number.

42968880 is a gapful number since it is divisible by the number (40) 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 42968880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78771000).

42968880 is an abundant number, since it is smaller than the sum of its proper divisors (114573120).

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

42968880 is a wasteful number, since it uses less digits than its factorization.

42968880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 42968880 is about 6555.0652170669. The cubic root of 42968880 is about 350.2552695583.

The spelling of 42968880 in words is "forty-two million, nine hundred sixty-eight thousand, eight hundred eighty".