164253216 has 96 divisors (see below), whose sum is σ = 457228800. Its totient is φ = 51537920.

The previous prime is 164253197. The next prime is 164253241. The reversal of 164253216 is 612352461.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 113425 + ... + 114863.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^164253216 is an apocalyptic number.

164253216 is a gapful number since it is divisible by the number (16) 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 164253216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

164253216 is an abundant number, since it is smaller than the sum of its proper divisors (292975584).

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

164253216 is a wasteful number, since it uses less digits than its factorization.

164253216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1514 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 164253216 is about 12816.1310854719. The cubic root of 164253216 is about 547.6519358981.

The spelling of 164253216 in words is "one hundred sixty-four million, two hundred fifty-three thousand, two hundred sixteen".