65382400 has 72 divisors (see below), whose sum is σ = 162235710. Its totient is φ = 26132480.

The previous prime is 65382347. The next prime is 65382407. The reversal of 65382400 is 428356.

It can be written as a sum of positive squares in 3 ways, for example, as 52765696 + 12616704 = 7264^2 + 3552^2 .

It is not an unprimeable number, because it can be changed into a prime (65382407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50562 + ... + 51838.

Almost surely, 2^65382400 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 65382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81117855).

65382400 is an abundant number, since it is smaller than the sum of its proper divisors (96853310).

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

65382400 is a wasteful number, since it uses less digits than its factorization.

65382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 65382400 is about 8085.9384118357. The cubic root of 65382400 is about 402.8595093046.

The spelling of 65382400 in words is "sixty-five million, three hundred eighty-two thousand, four hundred".