164553984 has 288 divisors, whose sum is σ = 588672000. Its totient is φ = 44292096.

The previous prime is 164553973. The next prime is 164553997. The reversal of 164553984 is 489355461.

164553984 is a `hidden beast` number, since 1 + 6 + 4 + 553 + 98 + 4 = 666.

164553984 is digitally balanced in base 3, because in such base 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 (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919207 + ... + 919385.

It is an arithmetic number, because the mean of its divisors is an integer number (2044000).

Almost surely, 2^164553984 is an apocalyptic number.

164553984 is a gapful number since it is divisible by the number (14) 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 164553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294336000).

164553984 is an abundant number, since it is smaller than the sum of its proper divisors (424118016).

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

164553984 is a wasteful number, since it uses less digits than its factorization.

164553984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 164553984 is about 12827.8596811783. The cubic root of 164553984 is about 547.9860049350.

The spelling of 164553984 in words is "one hundred sixty-four million, five hundred fifty-three thousand, nine hundred eighty-four".