164575440 has 60 divisors (see below), whose sum is σ = 552701604. Its totient is φ = 43886592.

The previous prime is 164575423. The next prime is 164575447. The reversal of 164575440 is 44575461.

164575440 is a `hidden beast` number, since 1 + 64 + 57 + 544 + 0 = 666.

164575440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 137452176 = 5208^2 + 11724^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164575395 and 164575404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164575447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113569 + ... + 115008.

Almost surely, 2^164575440 is an apocalyptic number.

164575440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164575440 is an abundant number, since it is smaller than the sum of its proper divisors (388126164).

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

164575440 is a wasteful number, since it uses less digits than its factorization.

164575440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228596 (or 228587 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 164575440 is about 12828.6959586702. The cubic root of 164575440 is about 548.0098209830.

The spelling of 164575440 in words is "one hundred sixty-four million, five hundred seventy-five thousand, four hundred forty".