65638000 has 80 divisors (see below), whose sum is σ = 163185984. Its totient is φ = 25516800.

The previous prime is 65637997. The next prime is 65638033. The reversal of 65638000 is 83656.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 65638000.

It is a congruent number.

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, 73557 + ... + 74443.

Almost surely, 2^65638000 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 65638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81592992).

65638000 is an abundant number, since it is smaller than the sum of its proper divisors (97547984).

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

65638000 is a wasteful number, since it uses less digits than its factorization.

65638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 65638000 is about 8101.7282106968. The cubic root of 65638000 is about 403.3837941253.

The spelling of 65638000 in words is "sixty-five million, six hundred thirty-eight thousand".