42193320 has 256 divisors, whose sum is σ = 151683840. Its totient is φ = 9289728.

The previous prime is 42193301. The next prime is 42193321. The reversal of 42193320 is 2339124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42193321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 981219 + ... + 981261.

It is an arithmetic number, because the mean of its divisors is an integer number (592515).

Almost surely, 2^42193320 is an apocalyptic number.

42193320 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 42193320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

42193320 is an abundant number, since it is smaller than the sum of its proper divisors (109490520).

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

42193320 is a wasteful number, since it uses less digits than its factorization.

42193320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 42193320 is about 6495.6385367414. The cubic root of 42193320 is about 348.1351701090.

The spelling of 42193320 in words is "forty-two million, one hundred ninety-three thousand, three hundred twenty".