42293760 has 80 divisors (see below), whose sum is σ = 135232416. Its totient is φ = 11276288.

The previous prime is 42293731. The next prime is 42293761. The reversal of 42293760 is 6739224.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42293761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4927 + ... + 10433.

Almost surely, 2^42293760 is an apocalyptic number.

42293760 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 42293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67616208).

42293760 is an abundant number, since it is smaller than the sum of its proper divisors (92938656).

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

42293760 is an equidigital number, since it uses as much as digits as its factorization.

42293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 42293760 is about 6503.3652826825. The cubic root of 42293760 is about 348.4111931650.

The spelling of 42293760 in words is "forty-two million, two hundred ninety-three thousand, seven hundred sixty".