65845416 has 192 divisors, whose sum is σ = 212587200. Its totient is φ = 16837632.

The previous prime is 65845411. The next prime is 65845421. The reversal of 65845416 is 61454856.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65845411) and next prime (65845421).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65845411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901956 + ... + 902028.

It is an arithmetic number, because the mean of its divisors is an integer number (1107225).

Almost surely, 2^65845416 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 65845416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106293600).

65845416 is an abundant number, since it is smaller than the sum of its proper divisors (146741784).

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

65845416 is a wasteful number, since it uses less digits than its factorization.

65845416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 65845416 is about 8114.5188397095. The cubic root of 65845416 is about 403.8082447835.

The spelling of 65845416 in words is "sixty-five million, eight hundred forty-five thousand, four hundred sixteen".