842005260 has 192 divisors, whose sum is σ = 2728857600. Its totient is φ = 215308800.

The previous prime is 842005253. The next prime is 842005279. The reversal of 842005260 is 62500248.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2996320 + ... + 2996600.

It is an arithmetic number, because the mean of its divisors is an integer number (14212800).

Almost surely, 2^842005260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842005260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364428800).

842005260 is an abundant number, since it is smaller than the sum of its proper divisors (1886852340).

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

842005260 is a wasteful number, since it uses less digits than its factorization.

842005260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 842005260 is about 29017.3268927377. The cubic root of 842005260 is about 944.2890091708.

The spelling of 842005260 in words is "eight hundred forty-two million, five thousand, two hundred sixty".