164155680 has 384 divisors, whose sum is σ = 643507200. Its totient is φ = 38817792.

The previous prime is 164155661. The next prime is 164155703. The reversal of 164155680 is 86551461.

164155680 is a `hidden beast` number, since 1 + 641 + 5 + 5 + 6 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2077881 + ... + 2077959.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2^164155680 is an apocalyptic number.

164155680 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 164155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

164155680 is an abundant number, since it is smaller than the sum of its proper divisors (479351520).

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

164155680 is a wasteful number, since it uses less digits than its factorization.

164155680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 164155680 is about 12812.3253158824. The cubic root of 164155680 is about 547.5435131489.

The spelling of 164155680 in words is "one hundred sixty-four million, one hundred fifty-five thousand, six hundred eighty".