645922200 has 576 divisors, whose sum is σ = 2659829760. Its totient is φ = 126720000.

The previous prime is 645922187. The next prime is 645922201. The reversal of 645922200 is 2229546.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645922201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15754180 + ... + 15754220.

It is an arithmetic number, because the mean of its divisors is an integer number (4617760).

Almost surely, 2^645922200 is an apocalyptic number.

645922200 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 645922200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329914880).

645922200 is an abundant number, since it is smaller than the sum of its proper divisors (2013907560).

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

645922200 is a wasteful number, since it uses less digits than its factorization.

645922200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 645922200 is about 25414.9995081645. Note that the first 3 decimals coincide. The cubic root of 645922200 is about 864.4238425437.

The spelling of 645922200 in words is "six hundred forty-five million, nine hundred twenty-two thousand, two hundred".