65735540 has 24 divisors (see below), whose sum is σ = 148664040. Its totient is φ = 24271488.

The previous prime is 65735539. The next prime is 65735543. The reversal of 65735540 is 4553756.

It can be written as a sum of positive squares in 4 ways, for example, as 868624 + 64866916 = 932^2 + 8054^2 .

It is a super-2 number, since 2×65735540² = 8642322438183200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65735540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65735543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126155 + ... + 126674.

It is an arithmetic number, because the mean of its divisors is an integer number (6194335).

Almost surely, 2^65735540 is an apocalyptic number.

It is an amenable number.

65735540 is an abundant number, since it is smaller than the sum of its proper divisors (82928500).

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

65735540 is a wasteful number, since it uses less digits than its factorization.

65735540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252851 (or 252849 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 35.

The square root of 65735540 is about 8107.7456792872. The cubic root of 65735540 is about 403.5835086278.

The spelling of 65735540 in words is "sixty-five million, seven hundred thirty-five thousand, five hundred forty".