164755760 has 40 divisors (see below), whose sum is σ = 412525680. Its totient is φ = 60832512.

The previous prime is 164755733. The next prime is 164755771. The reversal of 164755760 is 67557461.

164755760 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78170 + ... + 80249.

It is an arithmetic number, because the mean of its divisors is an integer number (10313142).

Almost surely, 2^164755760 is an apocalyptic number.

164755760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164755760 is an abundant number, since it is smaller than the sum of its proper divisors (247769920).

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

164755760 is a wasteful number, since it uses less digits than its factorization.

164755760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158445 (or 158439 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 164755760 is about 12835.7220287758. The cubic root of 164755760 is about 548.2098934900.

It can be divided in two parts, 164 and 755760, that multiplied together give a triangular number (123944640 = T₁₅₇₄₄).

The spelling of 164755760 in words is "one hundred sixty-four million, seven hundred fifty-five thousand, seven hundred sixty".