1890791136 has 288 divisors, whose sum is σ = 6244475328. Its totient is φ = 537477120.

The previous prime is 1890791129. The next prime is 1890791159. The reversal of 1890791136 is 6311970981.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1890791136² = 7150182239952340992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1890791091 and 1890791100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3882285 + ... + 3882771.

It is an arithmetic number, because the mean of its divisors is an integer number (21682206).

Almost surely, 2^1890791136 is an apocalyptic number.

1890791136 is a gapful number since it is divisible by the number (16) 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 1890791136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122237664).

1890791136 is an abundant number, since it is smaller than the sum of its proper divisors (4353684192).

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

1890791136 is a wasteful number, since it uses less digits than its factorization.

1890791136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1890791136 is about 43483.2282150256. The cubic root of 1890791136 is about 1236.5580789550.

The spelling of 1890791136 in words is "one billion, eight hundred ninety million, seven hundred ninety-one thousand, one hundred thirty-six".