65350720 has 112 divisors (see below), whose sum is σ = 169365168. Its totient is φ = 23920640.

The previous prime is 65350699. The next prime is 65350723. The reversal of 65350720 is 2705356.

It can be written as a sum of positive squares in 8 ways, for example, as 322624 + 65028096 = 568^2 + 8064^2 .

It is not an unprimeable number, because it can be changed into a prime (65350723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222894 + ... + 223186.

It is an arithmetic number, because the mean of its divisors is an integer number (1512189).

Almost surely, 2^65350720 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 65350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84682584).

65350720 is an abundant number, since it is smaller than the sum of its proper divisors (104014448).

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

65350720 is a wasteful number, since it uses less digits than its factorization.

65350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 65350720 is about 8083.9792181821. The cubic root of 65350720 is about 402.7944324077.

The spelling of 65350720 in words is "sixty-five million, three hundred fifty thousand, seven hundred twenty".