645613200 has 120 divisors (see below), whose sum is σ = 2297943200. Its totient is φ = 172160640.

The previous prime is 645613169. The next prime is 645613207. The reversal of 645613200 is 2316546.

645613200 is a `hidden beast` number, since 6 + 45 + 613 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (645613207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19090 + ... + 40689.

Almost surely, 2^645613200 is an apocalyptic number.

645613200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

645613200 is an abundant number, since it is smaller than the sum of its proper divisors (1652330000).

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

645613200 is a wasteful number, since it uses less digits than its factorization.

645613200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59806 (or 59789 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 645613200 is about 25408.9196936824. The cubic root of 645613200 is about 864.2859778638.

Adding to 645613200 its reverse (2316546), we get a palindrome (647929746).

The spelling of 645613200 in words is "six hundred forty-five million, six hundred thirteen thousand, two hundred".