65823000 has 128 divisors (see below), whose sum is σ = 211273920. Its totient is φ = 17049600.

The previous prime is 65822971. The next prime is 65823001. The reversal of 65823000 is 32856.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65823001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110704 + ... + 111296.

Almost surely, 2^65823000 is an apocalyptic number.

65823000 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 65823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105636960).

65823000 is an abundant number, since it is smaller than the sum of its proper divisors (145450920).

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

65823000 is a wasteful number, since it uses less digits than its factorization.

65823000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 65823000 is about 8113.1374942127. The cubic root of 65823000 is about 403.7624162681.

Adding to 65823000 its reverse (32856), we get a palindrome (65855856).

The spelling of 65823000 in words is "sixty-five million, eight hundred twenty-three thousand".