42880680 has 96 divisors (see below), whose sum is σ = 140175360. Its totient is φ = 11368320.

The previous prime is 42880679. The next prime is 42880697. The reversal of 42880680 is 8608824.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111769 + ... + 112151.

It is an arithmetic number, because the mean of its divisors is an integer number (1460160).

Almost surely, 2^42880680 is an apocalyptic number.

42880680 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 42880680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70087680).

42880680 is an abundant number, since it is smaller than the sum of its proper divisors (97294680).

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

42880680 is a wasteful number, since it uses less digits than its factorization.

42880680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 42880680 is about 6548.3341393060. The cubic root of 42880680 is about 350.0154550998.

The spelling of 42880680 in words is "forty-two million, eight hundred eighty thousand, six hundred eighty".