65104164 has 54 divisors (see below), whose sum is σ = 169264914. Its totient is φ = 21098880.

The previous prime is 65104163. The next prime is 65104183. The reversal of 65104164 is 46140156.

65104164 is a `hidden beast` number, since 651 + 0 + 4 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 51840000 + 13264164 = 7200^2 + 3642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65104163) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48624 + ... + 49944.

Almost surely, 2^65104164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65104164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84632457).

65104164 is an abundant number, since it is smaller than the sum of its proper divisors (104160750).

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

65104164 is a wasteful number, since it uses less digits than its factorization.

65104164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 65104164 is about 8068.7151393515. The cubic root of 65104164 is about 402.2872380931.

The spelling of 65104164 in words is "sixty-five million, one hundred four thousand, one hundred sixty-four".