842002560 has 256 divisors, whose sum is σ = 3408595200. Its totient is φ = 192430080.

The previous prime is 842002541. The next prime is 842002589. The reversal of 842002560 is 65200248.

842002560 is a `hidden beast` number, since 84 + 20 + 0 + 2 + 560 = 666.

It is a super-2 number, since 2×842002560² = 1417936622093107200, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117480 + ... + 124440.

It is an arithmetic number, because the mean of its divisors is an integer number (13314825).

Almost surely, 2^842002560 is an apocalyptic number.

842002560 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 842002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704297600).

842002560 is an abundant number, since it is smaller than the sum of its proper divisors (2566592640).

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

842002560 is a wasteful number, since it uses less digits than its factorization.

842002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6978 counting only the distinct ones).

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

The square root of 842002560 is about 29017.2803687734. The cubic root of 842002560 is about 944.2879998410.

The spelling of 842002560 in words is "eight hundred forty-two million, two thousand, five hundred sixty".