164348352 has 210 divisors, whose sum is σ = 567595512. Its totient is φ = 46884096.

The previous prime is 164348323. The next prime is 164348369. The reversal of 164348352 is 253843461.

164348352 is a `hidden beast` number, since 1 + 643 + 4 + 8 + 3 + 5 + 2 = 666.

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 29 ways as a sum of consecutive naturals, for example, 253693 + ... + 254339.

Almost surely, 2^164348352 is an apocalyptic number.

164348352 is a gapful number since it is divisible by the number (12) 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 164348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283797756).

164348352 is an abundant number, since it is smaller than the sum of its proper divisors (403247160).

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

164348352 is an equidigital number, since it uses as much as digits as its factorization.

164348352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 659 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 164348352 is about 12819.8421207127. The cubic root of 164348352 is about 547.7576494218.

The spelling of 164348352 in words is "one hundred sixty-four million, three hundred forty-eight thousand, three hundred fifty-two".