42993720 has 384 divisors, whose sum is σ = 183859200. Its totient is φ = 8743680.

The previous prime is 42993719. The next prime is 42993721. The reversal of 42993720 is 2739924.

It is an interprime number because it is at equal distance from previous prime (42993719) and next prime (42993721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42993721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914737 + ... + 914783.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^42993720 is an apocalyptic number.

42993720 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 42993720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

42993720 is an abundant number, since it is smaller than the sum of its proper divisors (140865480).

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

42993720 is a wasteful number, since it uses less digits than its factorization.

42993720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 42993720 is about 6556.9596613065. The cubic root of 42993720 is about 350.3227499061.

It can be divided in two parts, 429 and 93720, that added together give a palindrome (94149).

The spelling of 42993720 in words is "forty-two million, nine hundred ninety-three thousand, seven hundred twenty".