163584540 has 216 divisors, whose sum is σ = 611734032. Its totient is φ = 35159040.

The previous prime is 163584529. The next prime is 163584541. The reversal of 163584540 is 45485361.

It is a happy number.

163584540 is a `hidden beast` number, since 1 + 6 + 35 + 84 + 540 = 666.

163584540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 163584495 and 163584504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163584541) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149395 + ... + 150485.

It is an arithmetic number, because the mean of its divisors is an integer number (2832102).

Almost surely, 2^163584540 is an apocalyptic number.

163584540 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 163584540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305867016).

163584540 is an abundant number, since it is smaller than the sum of its proper divisors (448149492).

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

163584540 is a wasteful number, since it uses less digits than its factorization.

163584540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 163584540 is about 12790.0172009267. The cubic root of 163584540 is about 546.9077601708.

The spelling of 163584540 in words is "one hundred sixty-three million, five hundred eighty-four thousand, five hundred forty".