65514000 has 160 divisors (see below), whose sum is σ = 215879040. Its totient is φ = 17088000.

The previous prime is 65513993. The next prime is 65514011. The reversal of 65514000 is 41556.

65514000 = T₁₄₃₅ + T₁₄₃₆ + ... + T₁₄₉₅.

It is a happy number.

65514000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 365911 + ... + 366089.

It is an arithmetic number, because the mean of its divisors is an integer number (1349244).

Almost surely, 2^65514000 is an apocalyptic number.

65514000 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 65514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939520).

65514000 is an abundant number, since it is smaller than the sum of its proper divisors (150365040).

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

65514000 is a wasteful number, since it uses less digits than its factorization.

65514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 65514000 is about 8094.0719047955. The cubic root of 65514000 is about 403.1296165567.

Adding to 65514000 its reverse (41556), we get a palindrome (65555556).

The spelling of 65514000 in words is "sixty-five million, five hundred fourteen thousand".