164485992 has 64 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 49691840.

The previous prime is 164485991. The next prime is 164486011. The reversal of 164485992 is 299584461.

It is not an unprimeable number, because it can be changed into a prime (164485991) 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, 109873 + ... + 111359.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^164485992 is an apocalyptic number.

164485992 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 164485992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

164485992 is an abundant number, since it is smaller than the sum of its proper divisors (285485208).

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

164485992 is a wasteful number, since it uses less digits than its factorization.

164485992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1922 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 164485992 is about 12825.2092380592. The cubic root of 164485992 is about 547.9105204925.

The spelling of 164485992 in words is "one hundred sixty-four million, four hundred eighty-five thousand, nine hundred ninety-two".