65025600 has 336 divisors, whose sum is σ = 241889280. Its totient is φ = 15206400.

The previous prime is 65025593. The next prime is 65025601. The reversal of 65025600 is 652056.

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

It is not an unprimeable number, because it can be changed into a prime (65025601) 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, 2097585 + ... + 2097615.

Almost surely, 2^65025600 is an apocalyptic number.

65025600 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 65025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120944640).

65025600 is an abundant number, since it is smaller than the sum of its proper divisors (176863680).

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

65025600 is a wasteful number, since it uses less digits than its factorization.

65025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 65025600 is about 8063.8452366101. The cubic root of 65025600 is about 402.1253538432.

Adding to 65025600 its reverse (652056), we get a palindrome (65677656).

The spelling of 65025600 in words is "sixty-five million, twenty-five thousand, six hundred".