164996480 has 128 divisors (see below), whose sum is σ = 449452800. Its totient is φ = 57333760.

The previous prime is 164996471. The next prime is 164996483. The reversal of 164996480 is 84699461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164996483) 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, 161411 + ... + 162429.

It is an arithmetic number, because the mean of its divisors is an integer number (3511350).

Almost surely, 2^164996480 is an apocalyptic number.

164996480 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 164996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224726400).

164996480 is an abundant number, since it is smaller than the sum of its proper divisors (284456320).

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

164996480 is a wasteful number, since it uses less digits than its factorization.

164996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 164996480 is about 12845.0955621202. The cubic root of 164996480 is about 548.4767549086.

The spelling of 164996480 in words is "one hundred sixty-four million, nine hundred ninety-six thousand, four hundred eighty".