840284160 has 192 divisors, whose sum is σ = 2848154400. Its totient is φ = 210763776.

The previous prime is 840284153. The next prime is 840284167. The reversal of 840284160 is 61482048.

It is an interprime number because it is at equal distance from previous prime (840284153) and next prime (840284167).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840284167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521436 + ... + 523044.

Almost surely, 2^840284160 is an apocalyptic number.

840284160 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 840284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424077200).

840284160 is an abundant number, since it is smaller than the sum of its proper divisors (2007870240).

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

840284160 is a wasteful number, since it uses less digits than its factorization.

840284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 840284160 is about 28987.6553035943. The cubic root of 840284160 is about 943.6451793001.

It can be divided in two parts, 84028 and 4160, that added together give a palindrome (88188).

The spelling of 840284160 in words is "eight hundred forty million, two hundred eighty-four thousand, one hundred sixty".