65138832 has 240 divisors, whose sum is σ = 219360960. Its totient is φ = 17817600.

The previous prime is 65138819. The next prime is 65138837. The reversal of 65138832 is 23883156.

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 (65138837) 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, 1104019 + ... + 1104077.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2^65138832 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 65138832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

65138832 is an abundant number, since it is smaller than the sum of its proper divisors (154222128).

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

65138832 is a wasteful number, since it uses less digits than its factorization.

65138832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 65138832 is about 8070.8631508656. The cubic root of 65138832 is about 402.3586314743.

The spelling of 65138832 in words is "sixty-five million, one hundred thirty-eight thousand, eight hundred thirty-two".