164949120 has 192 divisors, whose sum is σ = 651119040. Its totient is φ = 37693440.

The previous prime is 164949119. The next prime is 164949131. The reversal of 164949120 is 21949461.

It is a happy number.

164949120 is a `hidden beast` number, since 1 + 649 + 4 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38275 + ... + 42365.

It is an arithmetic number, because the mean of its divisors is an integer number (3391245).

Almost surely, 2^164949120 is an apocalyptic number.

164949120 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 164949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325559520).

164949120 is an abundant number, since it is smaller than the sum of its proper divisors (486169920).

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

164949120 is a wasteful number, since it uses less digits than its factorization.

164949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 164949120 is about 12843.2519246490. The cubic root of 164949120 is about 548.4242722843.

The spelling of 164949120 in words is "one hundred sixty-four million, nine hundred forty-nine thousand, one hundred twenty".