842276160 has 252 divisors, whose sum is σ = 3185710164. Its totient is φ = 204103680.

The previous prime is 842276119. The next prime is 842276191. The reversal of 842276160 is 61672248.

842276160 is a `hidden beast` number, since 8 + 422 + 76 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 615833856 + 226442304 = 24816^2 + 15048^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 347272 + ... + 349688.

It is an arithmetic number, because the mean of its divisors is an integer number (12641707).

Almost surely, 2^842276160 is an apocalyptic number.

842276160 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 842276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592855082).

842276160 is an abundant number, since it is smaller than the sum of its proper divisors (2343434004).

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

842276160 is a wasteful number, since it uses less digits than its factorization.

842276160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 842276160 is about 29021.9944180272. The cubic root of 842276160 is about 944.3902676292.

The spelling of 842276160 in words is "eight hundred forty-two million, two hundred seventy-six thousand, one hundred sixty".