164047680 has 140 divisors (see below), whose sum is σ = 583638660. Its totient is φ = 43739136.

The previous prime is 164047669. The next prime is 164047699. The reversal of 164047680 is 86740461.

164047680 is a `hidden beast` number, since 1 + 640 + 4 + 7 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93083904 + 70963776 = 9648^2 + 8424^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22756 + ... + 29084.

Almost surely, 2^164047680 is an apocalyptic number.

164047680 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 164047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291819330).

164047680 is an abundant number, since it is smaller than the sum of its proper divisors (419590980).

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

164047680 is an equidigital number, since it uses as much as digits as its factorization.

164047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6358 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 164047680 is about 12808.1099308212. The cubic root of 164047680 is about 547.4234083138.

The spelling of 164047680 in words is "one hundred sixty-four million, forty-seven thousand, six hundred eighty".