164131968 has 384 divisors, whose sum is σ = 605586240. Its totient is φ = 38707200.

The previous prime is 164131951. The next prime is 164131973. The reversal of 164131968 is 869131461.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690658 + ... + 2690718.

Almost surely, 2^164131968 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 164131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302793120).

164131968 is an abundant number, since it is smaller than the sum of its proper divisors (441454272).

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

164131968 is a wasteful number, since it uses less digits than its factorization.

164131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 164131968 is about 12811.3999235056. The cubic root of 164131968 is about 547.5171479794.

It can be divided in two parts, 16413 and 1968, that added together give a palindrome (18381).

The spelling of 164131968 in words is "one hundred sixty-four million, one hundred thirty-one thousand, nine hundred sixty-eight".