645233600 has 168 divisors, whose sum is σ = 1763335056. Its totient is φ = 230400000.

The previous prime is 645233593. The next prime is 645233609. The reversal of 645233600 is 6332546.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645233609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073300 + ... + 1073900.

It is an arithmetic number, because the mean of its divisors is an integer number (10496042).

Almost surely, 2^645233600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881667528).

645233600 is an abundant number, since it is smaller than the sum of its proper divisors (1118101456).

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

645233600 is a wasteful number, since it uses less digits than its factorization.

645233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 645233600 is about 25401.4487775796. The cubic root of 645233600 is about 864.1165537778.

The spelling of 645233600 in words is "six hundred forty-five million, two hundred thirty-three thousand, six hundred".