164216640 has 168 divisors, whose sum is σ = 606686112. Its totient is φ = 37524480.

The previous prime is 164216629. The next prime is 164216653. The reversal of 164216640 is 46612461.

164216640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 164216598 and 164216607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45295 + ... + 48785.

Almost surely, 2^164216640 is an apocalyptic number.

164216640 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 164216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303343056).

164216640 is an abundant number, since it is smaller than the sum of its proper divisors (442469472).

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

164216640 is a wasteful number, since it uses less digits than its factorization.

164216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 164216640 is about 12814.7040543276. The cubic root of 164216640 is about 547.6112823984.

The spelling of 164216640 in words is "one hundred sixty-four million, two hundred sixteen thousand, six hundred forty".