65737640 has 64 divisors (see below), whose sum is σ = 157626000. Its totient is φ = 24588288.

The previous prime is 65737601. The next prime is 65737643. The reversal of 65737640 is 4673756.

It can be written as a sum of positive squares in 8 ways, for example, as 34175716 + 31561924 = 5846^2 + 5618^2 .

It is a junction number, because it is equal to n+sod(n) for n = 65737594 and 65737603.

It is not an unprimeable number, because it can be changed into a prime (65737643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188186 + ... + 188534.

Almost surely, 2^65737640 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 65737640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78813000).

65737640 is an abundant number, since it is smaller than the sum of its proper divisors (91888360).

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

65737640 is a wasteful number, since it uses less digits than its factorization.

65737640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 65737640 is about 8107.8751840417. The cubic root of 65737640 is about 403.5878062338.

The spelling of 65737640 in words is "sixty-five million, seven hundred thirty-seven thousand, six hundred forty".