645111000 has 128 divisors (see below), whose sum is σ = 2236478400. Its totient is φ = 172022400.

The previous prime is 645110989. The next prime is 645111007. The reversal of 645111000 is 111546.

645111000 is a `hidden beast` number, since 645 + 11 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645111007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15054 + ... + 38946.

Almost surely, 2^645111000 is an apocalyptic number.

645111000 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 645111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118239200).

645111000 is an abundant number, since it is smaller than the sum of its proper divisors (1591367400).

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

645111000 is a wasteful number, since it uses less digits than its factorization.

645111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23923 (or 23903 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 645111000 is about 25399.0354147554. The cubic root of 645111000 is about 864.0618204222.

Adding to 645111000 its reverse (111546), we get a palindrome (645222546).

The spelling of 645111000 in words is "six hundred forty-five million, one hundred eleven thousand".