65824740 has 108 divisors (see below), whose sum is σ = 210938364. Its totient is φ = 16612992.

The previous prime is 65824729. The next prime is 65824741. The reversal of 65824740 is 4742856.

65824740 is a `hidden beast` number, since 6 + 582 + 4 + 74 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 58339044 = 2736^2 + 7638^2 .

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 = 65824695 and 65824704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65824741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64474 + ... + 65486.

It is an arithmetic number, because the mean of its divisors is an integer number (1953133).

Almost surely, 2^65824740 is an apocalyptic number.

65824740 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 65824740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105469182).

65824740 is an abundant number, since it is smaller than the sum of its proper divisors (145113624).

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

65824740 is a wasteful number, since it uses less digits than its factorization.

65824740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 65824740 is about 8113.2447269881. The cubic root of 65824740 is about 403.7659739931.

It can be divided in two parts, 65824 and 740, that added together give a square (66564 = 258²).

The spelling of 65824740 in words is "sixty-five million, eight hundred twenty-four thousand, seven hundred forty".