164211840 has 512 divisors, whose sum is σ = 678585600. Its totient is φ = 37158912.

The previous prime is 164211811. The next prime is 164211871. The reversal of 164211840 is 48112461.

It is a happy number.

164211840 is a `hidden beast` number, since 1 + 642 + 1 + 18 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3818859 + ... + 3818901.

Almost surely, 2^164211840 is an apocalyptic number.

164211840 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 164211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339292800).

164211840 is an abundant number, since it is smaller than the sum of its proper divisors (514373760).

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

164211840 is a wasteful number, since it uses less digits than its factorization.

164211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 164211840 is about 12814.5167681033. The cubic root of 164211840 is about 547.6059468454.

The spelling of 164211840 in words is "one hundred sixty-four million, two hundred eleven thousand, eight hundred forty".