1890112320 has 336 divisors, whose sum is σ = 6834347520. Its totient is φ = 497166336.

The previous prime is 1890112261. The next prime is 1890112333. The reversal of 1890112320 is 232110981.

It is a hoax number, since the sum of its digits (27) 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 (27).

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, 8475729 + ... + 8475951.

It is an arithmetic number, because the mean of its divisors is an integer number (20340320).

Almost surely, 2^1890112320 is an apocalyptic number.

1890112320 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 1890112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417173760).

1890112320 is an abundant number, since it is smaller than the sum of its proper divisors (4944235200).

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

1890112320 is a wasteful number, since it uses less digits than its factorization.

1890112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1890112320 is about 43475.4220221035. The cubic root of 1890112320 is about 1236.4100816672.

The spelling of 1890112320 in words is "one billion, eight hundred ninety million, one hundred twelve thousand, three hundred twenty".