164951424 has 128 divisors (see below), whose sum is σ = 531216000. Its totient is φ = 49973760.

The previous prime is 164951419. The next prime is 164951431. The reversal of 164951424 is 424159461.

164951424 is a `hidden beast` number, since 1 + 649 + 5 + 1 + 4 + 2 + 4 = 666.

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

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35847 + ... + 40185.

It is an arithmetic number, because the mean of its divisors is an integer number (4150125).

Almost surely, 2^164951424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164951424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265608000).

164951424 is an abundant number, since it is smaller than the sum of its proper divisors (366264576).

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

164951424 is a wasteful number, since it uses less digits than its factorization.

164951424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4355 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 164951424 is about 12843.3416212448. The cubic root of 164951424 is about 548.4268257255.

The spelling of 164951424 in words is "one hundred sixty-four million, nine hundred fifty-one thousand, four hundred twenty-four".