164116560 has 40 divisors (see below), whose sum is σ = 508762080. Its totient is φ = 43764352.

The previous prime is 164116553. The next prime is 164116577. The reversal of 164116560 is 65611461.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

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, 341670 + ... + 342149.

It is an arithmetic number, because the mean of its divisors is an integer number (12719052).

Almost surely, 2^164116560 is an apocalyptic number.

164116560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164116560 is an abundant number, since it is smaller than the sum of its proper divisors (344645520).

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

164116560 is a wasteful number, since it uses less digits than its factorization.

164116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683835 (or 683829 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 164116560 is about 12810.7985699565. The cubic root of 164116560 is about 547.5000145952.

The spelling of 164116560 in words is "one hundred sixty-four million, one hundred sixteen thousand, five hundred sixty".