65358900 has 90 divisors (see below), whose sum is σ = 211893990. Its totient is φ = 17426880.

The previous prime is 65358889. The next prime is 65358901. The reversal of 65358900 is 985356.

65358900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 910116 + 64448784 = 954^2 + 8028^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65358901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4066 + ... + 12134.

Almost surely, 2^65358900 is an apocalyptic number.

65358900 is a gapful number since it is divisible by the number (60) 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 65358900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105946995).

65358900 is an abundant number, since it is smaller than the sum of its proper divisors (146535090).

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

65358900 is a wasteful number, since it uses less digits than its factorization.

65358900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8095 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 65358900 is about 8084.4851413062. The cubic root of 65358900 is about 402.8112377364.

The spelling of 65358900 in words is "sixty-five million, three hundred fifty-eight thousand, nine hundred".