42373968 has 160 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 10948608.

The previous prime is 42373967. The next prime is 42373987. The reversal of 42373968 is 86937324.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42373967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388698 + ... + 388806.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^42373968 is an apocalyptic number.

42373968 is a gapful number since it is divisible by the number (48) 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 42373968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

42373968 is an abundant number, since it is smaller than the sum of its proper divisors (95117232).

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

42373968 is a wasteful number, since it uses less digits than its factorization.

42373968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 42373968 is about 6509.5290152207. The cubic root of 42373968 is about 348.6313022142.

The spelling of 42373968 in words is "forty-two million, three hundred seventy-three thousand, nine hundred sixty-eight".