164217984 has 128 divisors (see below), whose sum is σ = 502656000. Its totient is φ = 46531584.

The previous prime is 164217979. The next prime is 164218013. The reversal of 164217984 is 489712461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534759 + ... + 535065.

It is an arithmetic number, because the mean of its divisors is an integer number (3927000).

Almost surely, 2^164217984 is an apocalyptic number.

164217984 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 164217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251328000).

164217984 is an abundant number, since it is smaller than the sum of its proper divisors (338438016).

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

164217984 is a wasteful number, since it uses less digits than its factorization.

164217984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 518 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 164217984 is about 12814.7564939799. The cubic root of 164217984 is about 547.6127763346.

The spelling of 164217984 in words is "one hundred sixty-four million, two hundred seventeen thousand, nine hundred eighty-four".