65268000 has 432 divisors, whose sum is σ = 276736824. Its totient is φ = 14515200.

The previous prime is 65267933. The next prime is 65268013. The reversal of 65268000 is 86256.

65268000 is a `hidden beast` number, since 652 + 6 + 8 + 0 + 0 + 0 = 666.

65268000 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 4 ways, for example, as 33593616 + 31674384 = 5796^2 + 5628^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 1763982 + ... + 1764018.

Almost surely, 2^65268000 is an apocalyptic number.

65268000 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 65268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138368412).

65268000 is an abundant number, since it is smaller than the sum of its proper divisors (211468824).

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

65268000 is a wasteful number, since it uses less digits than its factorization.

65268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 65268000 is about 8078.8613059020. The cubic root of 65268000 is about 402.6244101869.

The spelling of 65268000 in words is "sixty-five million, two hundred sixty-eight thousand".