164649520 has 80 divisors (see below), whose sum is σ = 439525440. Its totient is φ = 56189952.

The previous prime is 164649491. The next prime is 164649521. The reversal of 164649520 is 25946461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 164649520.

It is not an unprimeable number, because it can be changed into a prime (164649521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150094 + ... + 151186.

It is an arithmetic number, because the mean of its divisors is an integer number (5494068).

Almost surely, 2^164649520 is an apocalyptic number.

164649520 is a gapful number since it is divisible by the number (10) 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 164649520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219762720).

164649520 is an abundant number, since it is smaller than the sum of its proper divisors (274875920).

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

164649520 is a wasteful number, since it uses less digits than its factorization.

164649520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 164649520 is about 12831.5829109272. The cubic root of 164649520 is about 548.0920334886.

The spelling of 164649520 in words is "one hundred sixty-four million, six hundred forty-nine thousand, five hundred twenty".