65116128 has 192 divisors, whose sum is σ = 222953472. Its totient is φ = 16135680.

The previous prime is 65116123. The next prime is 65116133. The reversal of 65116128 is 82161156.

It is an interprime number because it is at equal distance from previous prime (65116123) and next prime (65116133).

It is a super-2 number, since 2×65116128² = 8480220251424768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65116095 and 65116104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65116123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169825 + ... + 170207.

It is an arithmetic number, because the mean of its divisors is an integer number (1161216).

Almost surely, 2^65116128 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 65116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111476736).

65116128 is an abundant number, since it is smaller than the sum of its proper divisors (157837344).

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

65116128 is a wasteful number, since it uses less digits than its factorization.

65116128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 65116128 is about 8069.4564872735. The cubic root of 65116128 is about 402.3118789631.

The spelling of 65116128 in words is "sixty-five million, one hundred sixteen thousand, one hundred twenty-eight".