65761416 has 256 divisors, whose sum is σ = 228556800. Its totient is φ = 17107200.

The previous prime is 65761411. The next prime is 65761453. The reversal of 65761416 is 61416756.

65761416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (65761411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1078026 + ... + 1078086.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 2^65761416 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 65761416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114278400).

65761416 is an abundant number, since it is smaller than the sum of its proper divisors (162795384).

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

65761416 is a wasteful number, since it uses less digits than its factorization.

65761416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 65761416 is about 8109.3412802767. The cubic root of 65761416 is about 403.6364569360.

The spelling of 65761416 in words is "sixty-five million, seven hundred sixty-one thousand, four hundred sixteen".