65417040 has 240 divisors, whose sum is σ = 245765520. Its totient is φ = 15482880.

The previous prime is 65417029. The next prime is 65417059. The reversal of 65417040 is 4071456.

65417040 is a `hidden beast` number, since 654 + 1 + 7 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 968256 + 64448784 = 984^2 + 8028^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 65416995 and 65417013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271320 + ... + 271560.

It is an arithmetic number, because the mean of its divisors is an integer number (1024023).

Almost surely, 2^65417040 is an apocalyptic number.

65417040 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 65417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122882760).

65417040 is an abundant number, since it is smaller than the sum of its proper divisors (180348480).

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

65417040 is a wasteful number, since it uses less digits than its factorization.

65417040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 65417040 is about 8088.0801182975. The cubic root of 65417040 is about 402.9306425639.

Adding to 65417040 its reverse (4071456), we get a palindrome (69488496).

The spelling of 65417040 in words is "sixty-five million, four hundred seventeen thousand, forty".