42871680 has 160 divisors (see below), whose sum is σ = 153287640. Its totient is φ = 11418624.

The previous prime is 42871663. The next prime is 42871687. The reversal of 42871680 is 8617824.

42871680 = 275² + 276² + ... + 530².

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42871687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51427 + ... + 52253.

Almost surely, 2^42871680 is an apocalyptic number.

42871680 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 42871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76643820).

42871680 is an abundant number, since it is smaller than the sum of its proper divisors (110415960).

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

42871680 is an equidigital number, since it uses as much as digits as its factorization.

42871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 42871680 is about 6547.6469055684. The cubic root of 42871680 is about 349.9909657532.

The spelling of 42871680 in words is "forty-two million, eight hundred seventy-one thousand, six hundred eighty".