164849520 has 160 divisors (see below), whose sum is σ = 571463424. Its totient is φ = 38963200.

The previous prime is 164849519. The next prime is 164849609. The reversal of 164849520 is 25948461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107479 + ... + 109001.

Almost surely, 2^164849520 is an apocalyptic number.

164849520 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 164849520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285731712).

164849520 is an abundant number, since it is smaller than the sum of its proper divisors (406613904).

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

164849520 is a wasteful number, since it uses less digits than its factorization.

164849520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 164849520 is about 12839.3738165068. The cubic root of 164849520 is about 548.3138664100.

The spelling of 164849520 in words is "one hundred sixty-four million, eight hundred forty-nine thousand, five hundred twenty".