1231084800 has 648 divisors, whose sum is σ = 5041239840. Its totient is φ = 283852800.

The previous prime is 1231084793. The next prime is 1231084847. The reversal of 1231084800 is 84801321.

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 71 ways as a sum of consecutive naturals, for example, 18374367 + ... + 18374433.

Almost surely, 2^1231084800 is an apocalyptic number.

1231084800 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 1231084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520619920).

1231084800 is an abundant number, since it is smaller than the sum of its proper divisors (3810155040).

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

1231084800 is a wasteful number, since it uses less digits than its factorization.

1231084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1231084800 is about 35086.8180375479. The cubic root of 1231084800 is about 1071.7561634467.

The spelling of 1231084800 in words is "one billion, two hundred thirty-one million, eighty-four thousand, eight hundred".