164311680 has 256 divisors, whose sum is σ = 586051200. Its totient is φ = 38879232.

The previous prime is 164311633. The next prime is 164311703. The reversal of 164311680 is 86113461.

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

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 31 ways as a sum of consecutive naturals, for example, 723727 + ... + 723953.

Almost surely, 2^164311680 is an apocalyptic number.

164311680 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 164311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

164311680 is an abundant number, since it is smaller than the sum of its proper divisors (421739520).

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

164311680 is a wasteful number, since it uses less digits than its factorization.

164311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 164311680 is about 12818.4117580923. The cubic root of 164311680 is about 547.7169049451.

The spelling of 164311680 in words is "one hundred sixty-four million, three hundred eleven thousand, six hundred eighty".