163887840 has 192 divisors, whose sum is σ = 584236800. Its totient is φ = 42895872.

The previous prime is 163887839. The next prime is 163887851. The reversal of 163887840 is 48788361.

163887840 is a `hidden beast` number, since 1 + 638 + 8 + 7 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 254559 + ... + 255201.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2^163887840 is an apocalyptic number.

163887840 is a gapful number since it is divisible by the number (10) 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 163887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292118400).

163887840 is an abundant number, since it is smaller than the sum of its proper divisors (420348960).

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

163887840 is a wasteful number, since it uses less digits than its factorization.

163887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 163887840 is about 12801.8686136048. The cubic root of 163887840 is about 547.2455563795.

The spelling of 163887840 in words is "one hundred sixty-three million, eight hundred eighty-seven thousand, eight hundred forty".