164511984 has 80 divisors (see below), whose sum is σ = 523077632. Its totient is φ = 43386624.

The previous prime is 164511973. The next prime is 164511989. The reversal of 164511984 is 489115461.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164511989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14464 + ... + 23199.

Almost surely, 2^164511984 is an apocalyptic number.

164511984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164511984 is an abundant number, since it is smaller than the sum of its proper divisors (358565648).

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

164511984 is a wasteful number, since it uses less digits than its factorization.

164511984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37694 (or 37688 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 164511984 is about 12826.2225148327. Note that the first 3 decimals coincide. The cubic root of 164511984 is about 547.9393791610.

The spelling of 164511984 in words is "one hundred sixty-four million, five hundred eleven thousand, nine hundred eighty-four".