164988792 has 64 divisors (see below), whose sum is σ = 459648000. Its totient is φ = 54834912.

The previous prime is 164988781. The next prime is 164988793. The reversal of 164988792 is 297889461.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164988793) 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, 89593 + ... + 91415.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^164988792 is an apocalyptic number.

164988792 is a gapful number since it is divisible by the number (12) 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 164988792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824000).

164988792 is an abundant number, since it is smaller than the sum of its proper divisors (294659208).

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

164988792 is a wasteful number, since it uses less digits than its factorization.

164988792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2247 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 164988792 is about 12844.7963004479. The cubic root of 164988792 is about 548.4682360304.

The spelling of 164988792 in words is "one hundred sixty-four million, nine hundred eighty-eight thousand, seven hundred ninety-two".