163023840 has 288 divisors, whose sum is σ = 660441600. Its totient is φ = 37200384.

The previous prime is 163023827. The next prime is 163023841. The reversal of 163023840 is 48320361.

It is a happy number.

163023840 is a `hidden beast` number, since 1 + 630 + 23 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163023841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271861 + ... + 272459.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^163023840 is an apocalyptic number.

163023840 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 163023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

163023840 is an abundant number, since it is smaller than the sum of its proper divisors (497417760).

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

163023840 is an equidigital number, since it uses as much as digits as its factorization.

163023840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 163023840 is about 12768.0789471243. The cubic root of 163023840 is about 546.2821871847.

The spelling of 163023840 in words is "one hundred sixty-three million, twenty-three thousand, eight hundred forty".