65600416 has 144 divisors (see below), whose sum is σ = 167541696. Its totient is φ = 25073664.

The previous prime is 65600401. The next prime is 65600417. The reversal of 65600416 is 61400656.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (65600417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613035 + ... + 613141.

It is an arithmetic number, because the mean of its divisors is an integer number (1163484).

Almost surely, 2^65600416 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 65600416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83770848).

65600416 is an abundant number, since it is smaller than the sum of its proper divisors (101941280).

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

65600416 is a wasteful number, since it uses less digits than its factorization.

65600416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 65600416 is about 8099.4083734554. The cubic root of 65600416 is about 403.3067875584.

The spelling of 65600416 in words is "sixty-five million, six hundred thousand, four hundred sixteen".