1990725120 has 320 divisors, whose sum is σ = 7177040640. Its totient is φ = 522952704.

The previous prime is 1990725089. The next prime is 1990725161. The reversal of 1990725120 is 215270991.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 5736787 + ... + 5737133.

It is an arithmetic number, because the mean of its divisors is an integer number (22428252).

Almost surely, 2^1990725120 is an apocalyptic number.

1990725120 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 1990725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588520320).

1990725120 is an abundant number, since it is smaller than the sum of its proper divisors (5186315520).

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

1990725120 is an equidigital number, since it uses as much as digits as its factorization.

1990725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1990725120 is about 44617.5427382549. The cubic root of 1990725120 is about 1257.9704287262.

The spelling of 1990725120 in words is "one billion, nine hundred ninety million, seven hundred twenty-five thousand, one hundred twenty".