842919952 has 120 divisors (see below), whose sum is σ = 2030495040. Its totient is φ = 336994560.

The previous prime is 842919919. The next prime is 842919953. The reversal of 842919952 is 259919248.

It is a super-3 number, since 3×842919952³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 842919896 and 842919905.

It is not an unprimeable number, because it can be changed into a prime (842919953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057218 + ... + 1058014.

It is an arithmetic number, because the mean of its divisors is an integer number (16920792).

Almost surely, 2^842919952 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 842919952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015247520).

842919952 is an abundant number, since it is smaller than the sum of its proper divisors (1187575088).

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

842919952 is a wasteful number, since it uses less digits than its factorization.

842919952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 896 counting only the distinct ones).

The product of its digits is 466560, while the sum is 49.

The square root of 842919952 is about 29033.0837494056. The cubic root of 842919952 is about 944.6308205849.

The spelling of 842919952 in words is "eight hundred forty-two million, nine hundred nineteen thousand, nine hundred fifty-two".