42593760 has 144 divisors (see below), whose sum is σ = 158623920. Its totient is φ = 10321920.

The previous prime is 42593753. The next prime is 42593773. The reversal of 42593760 is 6739524.

42593760 is a `hidden beast` number, since 4 + 2 + 593 + 7 + 60 = 666.

42593760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 14496 + ... + 17184.

It is an arithmetic number, because the mean of its divisors is an integer number (1101555).

Almost surely, 2^42593760 is an apocalyptic number.

42593760 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 42593760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79311960).

42593760 is an abundant number, since it is smaller than the sum of its proper divisors (116030160).

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

42593760 is a wasteful number, since it uses less digits than its factorization.

42593760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42593760 is about 6526.3895072237. The cubic root of 42593760 is about 349.2330416730.

The spelling of 42593760 in words is "forty-two million, five hundred ninety-three thousand, seven hundred sixty".