65312416 has 48 divisors (see below), whose sum is σ = 139444200. Its totient is φ = 30111744.

The previous prime is 65312339. The next prime is 65312431. The reversal of 65312416 is 61421356.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 64320400 = 996^2 + 8020^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69840 + ... + 70768.

Almost surely, 2^65312416 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 65312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69722100).

65312416 is an abundant number, since it is smaller than the sum of its proper divisors (74131784).

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

65312416 is an equidigital number, since it uses as much as digits as its factorization.

65312416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 944 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 65312416 is about 8081.6097406395. The cubic root of 65312416 is about 402.7157204297.

It can be divided in two parts, 65 and 312416, that added together give a square (312481 = 559²).

The spelling of 65312416 in words is "sixty-five million, three hundred twelve thousand, four hundred sixteen".