893500164 has 18 divisors (see below), whose sum is σ = 2258569950. Its totient is φ = 297833376.

The previous prime is 893500133. The next prime is 893500169. The reversal of 893500164 is 461005398.

893500164 is a `hidden beast` number, since 8 + 93 + 500 + 1 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 814645764 + 78854400 = 28542^2 + 8880^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 24819449 = 893500164 / (8 + 9 + 3 + 5 + 0 + 0 + 1 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (893500169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12409689 + ... + 12409760.

Almost surely, 2^893500164 is an apocalyptic number.

It is an amenable number.

893500164 is an abundant number, since it is smaller than the sum of its proper divisors (1365069786).

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

893500164 is a wasteful number, since it uses less digits than its factorization.

893500164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24819459 (or 24819454 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 893500164 is about 29891.4730985276. The cubic root of 893500164 is about 963.1594990775.

The spelling of 893500164 in words is "eight hundred ninety-three million, five hundred thousand, one hundred sixty-four".