164507616 has 144 divisors (see below), whose sum is σ = 575868384. Its totient is φ = 43379712.

The previous prime is 164507611. The next prime is 164507641. The reversal of 164507616 is 616705461.

164507616 is a `hidden beast` number, since 1 + 645 + 0 + 7 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164507611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23070 + ... + 29346.

It is an arithmetic number, because the mean of its divisors is an integer number (3999086).

Almost surely, 2^164507616 is an apocalyptic number.

164507616 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 164507616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287934192).

164507616 is an abundant number, since it is smaller than the sum of its proper divisors (411360768).

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

164507616 is a wasteful number, since it uses less digits than its factorization.

164507616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 164507616 is about 12826.0522375359. The cubic root of 164507616 is about 547.9345296250.

The spelling of 164507616 in words is "one hundred sixty-four million, five hundred seven thousand, six hundred sixteen".