164964560 has 20 divisors (see below), whose sum is σ = 383542788. Its totient is φ = 65985792.

The previous prime is 164964551. The next prime is 164964571. The reversal of 164964560 is 65469461.

It can be written as a sum of positive squares in 2 ways, for example, as 48497296 + 116467264 = 6964^2 + 10792^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1030949 + ... + 1031108.

Almost surely, 2^164964560 is an apocalyptic number.

164964560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164964560 is an abundant number, since it is smaller than the sum of its proper divisors (218578228).

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

164964560 is a wasteful number, since it uses less digits than its factorization.

164964560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062070 (or 2062064 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 164964560 is about 12843.8530044531. The cubic root of 164964560 is about 548.4413834326.

The spelling of 164964560 in words is "one hundred sixty-four million, nine hundred sixty-four thousand, five hundred sixty".