642533200 has 60 divisors (see below), whose sum is σ = 1557953980. Its totient is φ = 254638080.

The previous prime is 642533197. The next prime is 642533201. The reversal of 642533200 is 2335246.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14930496 + 627602704 = 3864^2 + 25052^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642533201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36232 + ... + 50968.

Almost surely, 2^642533200 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 642533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778976990).

642533200 is an abundant number, since it is smaller than the sum of its proper divisors (915420780).

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

642533200 is a wasteful number, since it uses less digits than its factorization.

642533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14864 (or 14853 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 642533200 is about 25348.2385975831. The cubic root of 642533200 is about 862.9093820773.

Adding to 642533200 its reverse (2335246), we get a palindrome (644868446).

The spelling of 642533200 in words is "six hundred forty-two million, five hundred thirty-three thousand, two hundred".