645180000 has 120 divisors (see below), whose sum is σ = 2116516248. Its totient is φ = 172032000.

The previous prime is 645179947. The next prime is 645180001. The reversal of 645180000 is 81546.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645180001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54624 + ... + 65376.

Almost surely, 2^645180000 is an apocalyptic number.

645180000 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 645180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058258124).

645180000 is an abundant number, since it is smaller than the sum of its proper divisors (1471336248).

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

645180000 is a wasteful number, since it uses less digits than its factorization.

645180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10786 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 645180000 is about 25400.3936977363. The cubic root of 645180000 is about 864.0926255292.

The spelling of 645180000 in words is "six hundred forty-five million, one hundred eighty thousand".