65281632 has 144 divisors (see below), whose sum is σ = 197123472. Its totient is φ = 18800640.

The previous prime is 65281627. The next prime is 65281633. The reversal of 65281632 is 23618256.

Its product of digits (17280) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 65281593 and 65281602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65281633) 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, 360582 + ... + 360762.

It is an arithmetic number, because the mean of its divisors is an integer number (1368913).

Almost surely, 2^65281632 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 65281632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98561736).

65281632 is an abundant number, since it is smaller than the sum of its proper divisors (131841840).

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

65281632 is a wasteful number, since it uses less digits than its factorization.

65281632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 65281632 is about 8079.7049451078. The cubic root of 65281632 is about 402.6524392051.

Adding to 65281632 its reverse (23618256), we get a palindrome (88899888).

It can be divided in two parts, 6528 and 1632, that multiplied together give a square (10653696 = 3264²).

The spelling of 65281632 in words is "sixty-five million, two hundred eighty-one thousand, six hundred thirty-two".