65212800 has 96 divisors (see below), whose sum is σ = 214826280. Its totient is φ = 17387520.

The previous prime is 65212783. The next prime is 65212801. The reversal of 65212800 is 821256.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65212801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6204 + ... + 12996.

Almost surely, 2^65212800 is an apocalyptic number.

65212800 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 65212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107413140).

65212800 is an abundant number, since it is smaller than the sum of its proper divisors (149613480).

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

65212800 is a wasteful number, since it uses less digits than its factorization.

65212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 65212800 is about 8075.4442602249. Note that the first 3 decimals coincide. The cubic root of 65212800 is about 402.5108724864.

The spelling of 65212800 in words is "sixty-five million, two hundred twelve thousand, eight hundred".