65633436 has 96 divisors (see below), whose sum is σ = 187810560. Its totient is φ = 19656000.

The previous prime is 65633423. The next prime is 65633441. The reversal of 65633436 is 63433656.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 65633436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119715 + ... + 120261.

It is an arithmetic number, because the mean of its divisors is an integer number (1956360).

Almost surely, 2^65633436 is an apocalyptic number.

65633436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65633436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93905280).

65633436 is an abundant number, since it is smaller than the sum of its proper divisors (122177124).

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

65633436 is a wasteful number, since it uses less digits than its factorization.

65633436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 65633436 is about 8101.4465375018. The cubic root of 65633436 is about 403.3744444279.

It can be divided in two parts, 6563 and 3436, that added together give a palindrome (9999).

The spelling of 65633436 in words is "sixty-five million, six hundred thirty-three thousand, four hundred thirty-six".