1008007200 has 288 divisors, whose sum is σ = 3806006400. Its totient is φ = 256988160.

The previous prime is 1008007183. The next prime is 1008007207. The reversal of 1008007200 is 27008001.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1008007207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495786 + ... + 497814.

It is an arithmetic number, because the mean of its divisors is an integer number (13215300).

Almost surely, 2^1008007200 is an apocalyptic number.

1008007200 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 1008007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903003200).

1008007200 is an abundant number, since it is smaller than the sum of its proper divisors (2797999200).

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

1008007200 is a wasteful number, since it uses less digits than its factorization.

1008007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1008007200 is about 31749.1291219145. The cubic root of 1008007200 is about 1002.6619742720.

The spelling of 1008007200 in words is "one billion, eight million, seven thousand, two hundred".