65738400 has 432 divisors, whose sum is σ = 274294944. Its totient is φ = 13547520.

The previous prime is 65738399. The next prime is 65738401. The reversal of 65738400 is 483756.

65738400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65738399) and next prime (65738401).

It is not an unprimeable number, because it can be changed into a prime (65738401) 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 71 ways as a sum of consecutive naturals, for example, 1528779 + ... + 1528821.

It is an arithmetic number, because the mean of its divisors is an integer number (634942).

Almost surely, 2^65738400 is an apocalyptic number.

65738400 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 65738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147472).

65738400 is an abundant number, since it is smaller than the sum of its proper divisors (208556544).

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

65738400 is a wasteful number, since it uses less digits than its factorization.

65738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 65738400 is about 8107.9220519193. The cubic root of 65738400 is about 403.5893615353.

The spelling of 65738400 in words is "sixty-five million, seven hundred thirty-eight thousand, four hundred".