645901200 has 540 divisors, whose sum is σ = 2741663808. Its totient is φ = 137894400.

The previous prime is 645901199. The next prime is 645901211. The reversal of 645901200 is 2109546.

645901200 is a `hidden beast` number, since 6 + 459 + 0 + 1 + 200 = 666.

It is a super-2 number, since 2×645901200² = 834376720322880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9097165 + ... + 9097235.

Almost surely, 2^645901200 is an apocalyptic number.

645901200 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 645901200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370831904).

645901200 is an abundant number, since it is smaller than the sum of its proper divisors (2095762608).

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

645901200 is a wasteful number, since it uses less digits than its factorization.

645901200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 645901200 is about 25414.5863629531. The cubic root of 645901200 is about 864.4144744921.

The spelling of 645901200 in words is "six hundred forty-five million, nine hundred one thousand, two hundred".