1006235200 has 84 divisors (see below), whose sum is σ = 2555963392. Its totient is φ = 389491200.

The previous prime is 1006235149. The next prime is 1006235203. The reversal of 1006235200 is 25326001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1006235203) 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, 39457 + ... + 59743.

Almost surely, 2^1006235200 is an apocalyptic number.

1006235200 is a gapful number since it is divisible by the number (10) 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 1006235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277981696).

1006235200 is an abundant number, since it is smaller than the sum of its proper divisors (1549728192).

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

1006235200 is a wasteful number, since it uses less digits than its factorization.

1006235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20340 (or 20325 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1006235200 is about 31721.2105695858. The cubic root of 1006235200 is about 1002.0740951551.

The spelling of 1006235200 in words is "one billion, six million, two hundred thirty-five thousand, two hundred".