10181664 has 36 divisors (see below), whose sum is σ = 28954926. Its totient is φ = 3393792.

The previous prime is 10181659. The next prime is 10181683. The reversal of 10181664 is 46618101.

It can be written as a sum of positive squares in only one way, i.e., 5253264 + 4928400 = 2292^2 + 2220^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17389 + ... + 17964.

Almost surely, 2^10181664 is an apocalyptic number.

It is an amenable number.

10181664 is an abundant number, since it is smaller than the sum of its proper divisors (18773262).

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

10181664 is a wasteful number, since it uses less digits than its factorization.

10181664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35369 (or 35358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10181664 is about 3190.8719811362. The cubic root of 10181664 is about 216.7402584991.

Adding to 10181664 its reverse (46618101), we get a palindrome (56799765).

The spelling of 10181664 in words is "ten million, one hundred eighty-one thousand, six hundred sixty-four".