842904960 has 128 divisors (see below), whose sum is σ = 2695541760. Its totient is φ = 224040960.

The previous prime is 842904949. The next prime is 842904977. The reversal of 842904960 is 69409248.

842904960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850065 + ... + 851055.

It is an arithmetic number, because the mean of its divisors is an integer number (21058920).

Almost surely, 2^842904960 is an apocalyptic number.

842904960 is a gapful number since it is divisible by the number (80) 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 842904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347770880).

842904960 is an abundant number, since it is smaller than the sum of its proper divisors (1852636800).

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

842904960 is a wasteful number, since it uses less digits than its factorization.

842904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 842904960 is about 29032.8255600450. The cubic root of 842904960 is about 944.6252202155.

The spelling of 842904960 in words is "eight hundred forty-two million, nine hundred four thousand, nine hundred sixty".