1198001920 has 72 divisors (see below), whose sum is σ = 2994427296. Its totient is φ = 458354688.

The previous prime is 1198001881. The next prime is 1198001933. The reversal of 1198001920 is 291008911.

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 7 ways as a sum of consecutive naturals, for example, 9094 + ... + 49786.

It is an arithmetic number, because the mean of its divisors is an integer number (41589268).

Almost surely, 2^1198001920 is an apocalyptic number.

1198001920 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 1198001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497213648).

1198001920 is an abundant number, since it is smaller than the sum of its proper divisors (1796425376).

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

1198001920 is an equidigital number, since it uses as much as digits as its factorization.

1198001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40737 (or 40723 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The square root of 1198001920 is about 34612.1643356783. The cubic root of 1198001920 is about 1062.0684424073.

The spelling of 1198001920 in words is "one billion, one hundred ninety-eight million, one thousand, nine hundred twenty".