65448000 has 280 divisors, whose sum is σ = 244519704. Its totient is φ = 17280000.

The previous prime is 65447957. The next prime is 65448001. The reversal of 65448000 is 84456.

65448000 is a `hidden beast` number, since 654 + 4 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 65028096 = 648^2 + 8064^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65448001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647950 + ... + 648050.

Almost surely, 2^65448000 is an apocalyptic number.

65448000 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 65448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122259852).

65448000 is an abundant number, since it is smaller than the sum of its proper divisors (179071704).

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

65448000 is a wasteful number, since it uses less digits than its factorization.

65448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 65448000 is about 8089.9938195279. The cubic root of 65448000 is about 402.9941976929.

The spelling of 65448000 in words is "sixty-five million, four hundred forty-eight thousand".