164178960 has 80 divisors (see below), whose sum is σ = 555232320. Its totient is φ = 39800320.

The previous prime is 164178941. The next prime is 164178967. The reversal of 164178960 is 69871461.

164178960 = T₅ + T₆ + ... + T₉₉₄.

164178960 is digitally balanced in base 3, 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 (80).

It is not an unprimeable number, because it can be changed into a prime (164178967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28455 + ... + 33734.

It is an arithmetic number, because the mean of its divisors is an integer number (6940404).

Almost surely, 2^164178960 is an apocalyptic number.

164178960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164178960 is an abundant number, since it is smaller than the sum of its proper divisors (391053360).

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

164178960 is a wasteful number, since it uses less digits than its factorization.

164178960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62216 (or 62210 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 164178960 is about 12813.2337838658. The cubic root of 164178960 is about 547.5693955114.

It can be divided in two parts, 1641 and 78960, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 164178960 in words is "one hundred sixty-four million, one hundred seventy-eight thousand, nine hundred sixty".