1008997200 has 90 divisors (see below), whose sum is σ = 3501513054. Its totient is φ = 269064960.

The previous prime is 1008997151. The next prime is 1008997237. The reversal of 1008997200 is 27998001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 202891536 + 806105664 = 14244^2 + 28392^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136539 + ... + 143738.

Almost surely, 2^1008997200 is an apocalyptic number.

1008997200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008997200 is an abundant number, since it is smaller than the sum of its proper divisors (2492515854).

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

1008997200 is a wasteful number, since it uses less digits than its factorization.

1008997200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280301 (or 280287 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1008997200 is about 31764.7162745081. The cubic root of 1008997200 is about 1002.9901169559.

The spelling of 1008997200 in words is "one billion, eight million, nine hundred ninety-seven thousand, two hundred".