164541888 has 224 divisors, whose sum is σ = 564408320. Its totient is φ = 46033920.

The previous prime is 164541841. The next prime is 164541901. The reversal of 164541888 is 888145461.

164541888 is a `hidden beast` number, since 16 + 454 + 188 + 8 = 666.

164541888 is digitally balanced in base 2, 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 (224).

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, 737745 + ... + 737967.

It is an arithmetic number, because the mean of its divisors is an integer number (2519680).

Almost surely, 2^164541888 is an apocalyptic number.

164541888 is a gapful number since it is divisible by the number (18) 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 164541888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282204160).

164541888 is an abundant number, since it is smaller than the sum of its proper divisors (399866432).

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

164541888 is a wasteful number, since it uses less digits than its factorization.

164541888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 164541888 is about 12827.3881986942. The cubic root of 164541888 is about 547.9725775256.

The spelling of 164541888 in words is "one hundred sixty-four million, five hundred forty-one thousand, eight hundred eighty-eight".