65605632 has 104 divisors (see below), whose sum is σ = 184788960. Its totient is φ = 20643840.

The previous prime is 65605621. The next prime is 65605667. The reversal of 65605632 is 23650656.

It is a junction number, because it is equal to n+sod(n) for n = 65605593 and 65605602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233332 + ... + 233612.

Almost surely, 2^65605632 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 65605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92394480).

65605632 is an abundant number, since it is smaller than the sum of its proper divisors (119183328).

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

65605632 is a wasteful number, since it uses less digits than its factorization.

65605632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 65605632 is about 8099.7303658826. The cubic root of 65605632 is about 403.3174764767.

The spelling of 65605632 in words is "sixty-five million, six hundred five thousand, six hundred thirty-two".