842540160 has 512 divisors, whose sum is σ = 3454617600. Its totient is φ = 169574400.

The previous prime is 842540159. The next prime is 842540177. The reversal of 842540160 is 61045248.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6061371 + ... + 6061509.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2^842540160 is an apocalyptic number.

842540160 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 842540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727308800).

842540160 is an abundant number, since it is smaller than the sum of its proper divisors (2612077440).

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

842540160 is a wasteful number, since it uses less digits than its factorization.

842540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 842540160 is about 29026.5423362825. The cubic root of 842540160 is about 944.4889260813.

The spelling of 842540160 in words is "eight hundred forty-two million, five hundred forty thousand, one hundred sixty".