42817320 has 192 divisors, whose sum is σ = 171400320. Its totient is φ = 9027072.

The previous prime is 42817319. The next prime is 42817321. The reversal of 42817320 is 2371824.

It is an interprime number because it is at equal distance from previous prime (42817319) and next prime (42817321).

It is not an unprimeable number, because it can be changed into a prime (42817321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32107 + ... + 33413.

It is an arithmetic number, because the mean of its divisors is an integer number (892710).

Almost surely, 2^42817320 is an apocalyptic number.

42817320 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 42817320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85700160).

42817320 is an abundant number, since it is smaller than the sum of its proper divisors (128583000).

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

42817320 is a wasteful number, since it uses less digits than its factorization.

42817320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42817320 is about 6543.4944792519. The cubic root of 42817320 is about 349.8429771834.

The spelling of 42817320 in words is "forty-two million, eight hundred seventeen thousand, three hundred twenty".