65138736 has 80 divisors (see below), whose sum is σ = 182766080. Its totient is φ = 19872000.

The previous prime is 65138699. The next prime is 65138771. The reversal of 65138736 is 63783156.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 65138694 and 65138703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86361 + ... + 87111.

It is an arithmetic number, because the mean of its divisors is an integer number (2284576).

Almost surely, 2^65138736 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 65138736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91383040).

65138736 is an abundant number, since it is smaller than the sum of its proper divisors (117627344).

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

65138736 is a wasteful number, since it uses less digits than its factorization.

65138736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 65138736 is about 8070.8572035441. The cubic root of 65138736 is about 402.3584338122.

The spelling of 65138736 in words is "sixty-five million, one hundred thirty-eight thousand, seven hundred thirty-six".