645000600 has 192 divisors, whose sum is σ = 2178432000. Its totient is φ = 157248000.

The previous prime is 645000589. The next prime is 645000607. The reversal of 645000600 is 6000546.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645000607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329625 + ... + 331575.

It is an arithmetic number, because the mean of its divisors is an integer number (11346000).

Almost surely, 2^645000600 is an apocalyptic number.

645000600 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 645000600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089216000).

645000600 is an abundant number, since it is smaller than the sum of its proper divisors (1533431400).

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

645000600 is a wasteful number, since it uses less digits than its factorization.

645000600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 645000600 is about 25396.8620108863. The cubic root of 645000600 is about 864.0125276819.

The spelling of 645000600 in words is "six hundred forty-five million, six hundred", and thus it is an aban number.