1990185120 has 768 divisors, whose sum is σ = 9011036160. Its totient is φ = 398131200.

The previous prime is 1990185097. The next prime is 1990185137. The reversal of 1990185120 is 215810991.

1990185120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10311744 + ... + 10311936.

It is an arithmetic number, because the mean of its divisors is an integer number (11733120).

Almost surely, 2^1990185120 is an apocalyptic number.

1990185120 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 1990185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505518080).

1990185120 is an abundant number, since it is smaller than the sum of its proper divisors (7020851040).

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

1990185120 is a wasteful number, since it uses less digits than its factorization.

1990185120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 1990185120 is about 44611.4908964047. The cubic root of 1990185120 is about 1257.8566736165.

The spelling of 1990185120 in words is "one billion, nine hundred ninety million, one hundred eighty-five thousand, one hundred twenty".