65164320 has 216 divisors, whose sum is σ = 243606636. Its totient is φ = 15768576.

The previous prime is 65164283. The next prime is 65164343. The reversal of 65164320 is 2346156.

65164320 is a `hidden beast` number, since 651 + 6 + 4 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60652944 + 4511376 = 7788^2 + 2124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1104451 + ... + 1104509.

Almost surely, 2^65164320 is an apocalyptic number.

65164320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121803318).

65164320 is an abundant number, since it is smaller than the sum of its proper divisors (178442316).

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

65164320 is a wasteful number, since it uses less digits than its factorization.

65164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 65164320 is about 8072.4420097019. The cubic root of 65164320 is about 402.4111039099.

The spelling of 65164320 in words is "sixty-five million, one hundred sixty-four thousand, three hundred twenty".