65868300 has 108 divisors (see below), whose sum is σ = 208189800. Its totient is φ = 17418240.

The previous prime is 65868293. The next prime is 65868301. The reversal of 65868300 is 386856.

65868300 is nontrivially palindromic in base 14.

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

It is not an unprimeable number, because it can be changed into a prime (65868301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146476 + ... + 146924.

Almost surely, 2^65868300 is an apocalyptic number.

65868300 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 65868300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104094900).

65868300 is an abundant number, since it is smaller than the sum of its proper divisors (142321500).

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

65868300 is a wasteful number, since it uses less digits than its factorization.

65868300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 65868300 is about 8115.9287823391. The cubic root of 65868300 is about 403.8550193763.

The spelling of 65868300 in words is "sixty-five million, eight hundred sixty-eight thousand, three hundred".