65617140 has 96 divisors (see below), whose sum is σ = 194705280. Its totient is φ = 16482816.

The previous prime is 65617133. The next prime is 65617141. The reversal of 65617140 is 4171656.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 65617098 and 65617107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65617141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74382 + ... + 75258.

It is an arithmetic number, because the mean of its divisors is an integer number (2028180).

Almost surely, 2^65617140 is an apocalyptic number.

65617140 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 65617140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97352640).

65617140 is an abundant number, since it is smaller than the sum of its proper divisors (129088140).

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

65617140 is a wasteful number, since it uses less digits than its factorization.

65617140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 65617140 is about 8100.4407287505. The cubic root of 65617140 is about 403.3410573087.

Adding to 65617140 its reverse (4171656), we get a palindrome (69788796).

The spelling of 65617140 in words is "sixty-five million, six hundred seventeen thousand, one hundred forty".