65736540 has 72 divisors (see below), whose sum is σ = 200648448. Its totient is φ = 17420160.

The previous prime is 65736529. The next prime is 65736563. The reversal of 65736540 is 4563756.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65736495 and 65736504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30085 + ... + 32195.

It is an arithmetic number, because the mean of its divisors is an integer number (2786784).

Almost surely, 2^65736540 is an apocalyptic number.

65736540 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 65736540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100324224).

65736540 is an abundant number, since it is smaller than the sum of its proper divisors (134911908).

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

65736540 is a wasteful number, since it uses less digits than its factorization.

65736540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 65736540 is about 8107.8073484759. The cubic root of 65736540 is about 403.5855551182.

The spelling of 65736540 in words is "sixty-five million, seven hundred thirty-six thousand, five hundred forty".