164269248 has 224 divisors, whose sum is σ = 529815552. Its totient is φ = 44236800.

The previous prime is 164269163. The next prime is 164269291. The reversal of 164269248 is 842962461.

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 31 ways as a sum of consecutive naturals, for example, 851040 + ... + 851232.

It is an arithmetic number, because the mean of its divisors is an integer number (2365248).

Almost surely, 2^164269248 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 164269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264907776).

164269248 is an abundant number, since it is smaller than the sum of its proper divisors (365546304).

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

164269248 is a wasteful number, since it uses less digits than its factorization.

164269248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 164269248 is about 12816.7565319780. The cubic root of 164269248 is about 547.6697532462.

The spelling of 164269248 in words is "one hundred sixty-four million, two hundred sixty-nine thousand, two hundred forty-eight".