645315000 has 160 divisors (see below), whose sum is σ = 2199795840. Its totient is φ = 156400000.

The previous prime is 645314987. The next prime is 645315023. The reversal of 645315000 is 513546.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 163045 + ... + 166955.

It is an arithmetic number, because the mean of its divisors is an integer number (13748724).

Almost surely, 2^645315000 is an apocalyptic number.

645315000 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 645315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099897920).

645315000 is an abundant number, since it is smaller than the sum of its proper divisors (1554480840).

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

645315000 is a wasteful number, since it uses less digits than its factorization.

645315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 645315000 is about 25403.0509978624. The cubic root of 645315000 is about 864.1528900389.

Adding to 645315000 its reverse (513546), we get a palindrome (645828546).

The spelling of 645315000 in words is "six hundred forty-five million, three hundred fifteen thousand".