65312940 has 192 divisors, whose sum is σ = 232501248. Its totient is φ = 13305600.

The previous prime is 65312927. The next prime is 65312957. The reversal of 65312940 is 4921356.

65312940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 65312898 and 65312907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309435 + ... + 309645.

It is an arithmetic number, because the mean of its divisors is an integer number (1210944).

Almost surely, 2^65312940 is an apocalyptic number.

65312940 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 65312940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116250624).

65312940 is an abundant number, since it is smaller than the sum of its proper divisors (167188308).

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

65312940 is a wasteful number, since it uses less digits than its factorization.

65312940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 65312940 is about 8081.6421598584. The cubic root of 65312940 is about 402.7167974198.

The spelling of 65312940 in words is "sixty-five million, three hundred twelve thousand, nine hundred forty".