164769984 has 224 divisors, whose sum is σ = 526694400. Its totient is φ = 50319360.

The previous prime is 164769973. The next prime is 164769989. The reversal of 164769984 is 489967461.

164769984 is a `hidden beast` number, since 1 + 6 + 476 + 99 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 164769984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164769989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2085657 + ... + 2085735.

Almost surely, 2^164769984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263347200).

164769984 is an abundant number, since it is smaller than the sum of its proper divisors (361924416).

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

164769984 is a wasteful number, since it uses less digits than its factorization.

164769984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 164769984 is about 12836.2760955037. The cubic root of 164769984 is about 548.2256693940.

It can be divided in two parts, 1647 and 69984, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 164769984 in words is "one hundred sixty-four million, seven hundred sixty-nine thousand, nine hundred eighty-four".