65485200 has 240 divisors, whose sum is σ = 236359872. Its totient is φ = 15488000.

The previous prime is 65485193. The next prime is 65485213. The reversal of 65485200 is 258456.

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

It is a super-2 number, since 2×65485200² = 8576622838080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1597180 + ... + 1597220.

Almost surely, 2^65485200 is an apocalyptic number.

65485200 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 65485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118179936).

65485200 is an abundant number, since it is smaller than the sum of its proper divisors (170874672).

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

65485200 is a wasteful number, since it uses less digits than its factorization.

65485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 65485200 is about 8092.2926294098. The cubic root of 65485200 is about 403.0705358786.

The spelling of 65485200 in words is "sixty-five million, four hundred eighty-five thousand, two hundred".