65036400 has 240 divisors, whose sum is σ = 245400960. Its totient is φ = 14515200.

The previous prime is 65036383. The next prime is 65036401. The reversal of 65036400 is 463056.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65036401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171411 + ... + 171789.

It is an arithmetic number, because the mean of its divisors is an integer number (1022504).

Almost surely, 2^65036400 is an apocalyptic number.

65036400 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 65036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122700480).

65036400 is an abundant number, since it is smaller than the sum of its proper divisors (180364560).

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

65036400 is a wasteful number, since it uses less digits than its factorization.

65036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 65036400 is about 8064.5148645160. The cubic root of 65036400 is about 402.1476154008.

Adding to 65036400 its reverse (463056), we get a palindrome (65499456).

The spelling of 65036400 in words is "sixty-five million, thirty-six thousand, four hundred".