66253200 has 240 divisors, whose sum is σ = 237651456. Its totient is φ = 15667200.

The previous prime is 66253193. The next prime is 66253211. The reversal of 66253200 is 235266.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483532 + ... + 483668.

Almost surely, 2^66253200 is an apocalyptic number.

66253200 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 66253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118825728).

66253200 is an abundant number, since it is smaller than the sum of its proper divisors (171398256).

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

66253200 is a wasteful number, since it uses less digits than its factorization.

66253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

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

The square root of 66253200 is about 8139.6068701136. The cubic root of 66253200 is about 404.6401314791.

Adding to 66253200 its reverse (235266), we get a palindrome (66488466).

The spelling of 66253200 in words is "sixty-six million, two hundred fifty-three thousand, two hundred".