65706400 has 72 divisors (see below), whose sum is σ = 167426784. Its totient is φ = 25132800.

The previous prime is 65706397. The next prime is 65706401. The reversal of 65706400 is 460756.

65706400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (65706401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16615 + ... + 20185.

It is an arithmetic number, because the mean of its divisors is an integer number (2325372).

Almost surely, 2^65706400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83713392).

65706400 is an abundant number, since it is smaller than the sum of its proper divisors (101720384).

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

65706400 is a wasteful number, since it uses less digits than its factorization.

65706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 65706400 is about 8105.9484330953. The cubic root of 65706400 is about 403.5238647800.

The spelling of 65706400 in words is "sixty-five million, seven hundred six thousand, four hundred".