65248900 has 36 divisors (see below), whose sum is σ = 142494352. Its totient is φ = 25932960.

The previous prime is 65248877. The next prime is 65248913. The reversal of 65248900 is 984256.

It is a happy number.

It is a super-3 number, since 3×65248900³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14299 + ... + 18301.

Almost surely, 2^65248900 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 65248900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71247176).

65248900 is an abundant number, since it is smaller than the sum of its proper divisors (77245452).

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

65248900 is a wasteful number, since it uses less digits than its factorization.

65248900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 65248900 is about 8077.6791221241. The cubic root of 65248900 is about 402.5851317426.

The spelling of 65248900 in words is "sixty-five million, two hundred forty-eight thousand, nine hundred".