842565120 has 160 divisors (see below), whose sum is σ = 2781250560. Its totient is φ = 217374720.

The previous prime is 842565107. The next prime is 842565131. The reversal of 842565120 is 21565248.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×842565120² = 1419831962881228800, which contains 22 as substring.

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, 236311 + ... + 239849.

It is an arithmetic number, because the mean of its divisors is an integer number (17382816).

Almost surely, 2^842565120 is an apocalyptic number.

842565120 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 842565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390625280).

842565120 is an abundant number, since it is smaller than the sum of its proper divisors (1938685440).

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

842565120 is a wasteful number, since it uses less digits than its factorization.

842565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 842565120 is about 29026.9722844116. The cubic root of 842565120 is about 944.4982527231.

The spelling of 842565120 in words is "eight hundred forty-two million, five hundred sixty-five thousand, one hundred twenty".