842762160 has 240 divisors, whose sum is σ = 2931312384. Its totient is φ = 216857088.

The previous prime is 842762147. The next prime is 842762183. The reversal of 842762160 is 61267248.

842762160 is a `hidden beast` number, since 8 + 4 + 27 + 621 + 6 + 0 = 666.

842762160 is digitally balanced in base 2 and base 6, because in such bases 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 (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5046397 + ... + 5046563.

Almost surely, 2^842762160 is an apocalyptic number.

842762160 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 842762160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465656192).

842762160 is an abundant number, since it is smaller than the sum of its proper divisors (2088550224).

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

842762160 is a wasteful number, since it uses less digits than its factorization.

842762160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

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

The square root of 842762160 is about 29030.3661706152. The cubic root of 842762160 is about 944.5718729201.

It can be divided in two parts, 84276 and 2160, that added together give a square (86436 = 294²).

The spelling of 842762160 in words is "eight hundred forty-two million, seven hundred sixty-two thousand, one hundred sixty".