65536900 has 72 divisors (see below), whose sum is σ = 167114304. Its totient is φ = 21993600.

The previous prime is 65536873. The next prime is 65536903. The reversal of 65536900 is 963556.

It is a super-2 number, since 2×65536900² = 8590170523220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65536903) 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, 12009 + ... + 16591.

It is an arithmetic number, because the mean of its divisors is an integer number (2321032).

Almost surely, 2^65536900 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 65536900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83557152).

65536900 is an abundant number, since it is smaller than the sum of its proper divisors (101577404).

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

65536900 is a wasteful number, since it uses less digits than its factorization.

65536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 34.

The square root of 65536900 is about 8095.4863967522. The cubic root of 65536900 is about 403.1765815454.

It can be divided in two parts, 65536 and 900, that multiplied together give a square (58982400 = 7680²).

The spelling of 65536900 in words is "sixty-five million, five hundred thirty-six thousand, nine hundred".