164869992 has 160 divisors (see below), whose sum is σ = 555825600. Its totient is φ = 44603136.

The previous prime is 164869963. The next prime is 164870009. The reversal of 164869992 is 299968461.

It is a super-2 number, since 2×164869992² = 54364228524160128, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1679616) is a multiple of the sum of its prime divisors (1944).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85228 + ... + 87140.

It is an arithmetic number, because the mean of its divisors is an integer number (3473910).

Almost surely, 2^164869992 is an apocalyptic number.

164869992 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 164869992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277912800).

164869992 is an abundant number, since it is smaller than the sum of its proper divisors (390955608).

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

164869992 is a wasteful number, since it uses less digits than its factorization.

164869992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1944 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 164869992 is about 12840.1710268984. The cubic root of 164869992 is about 548.3365631030.

The spelling of 164869992 in words is "one hundred sixty-four million, eight hundred sixty-nine thousand, nine hundred ninety-two".