1890742176 has 144 divisors (see below), whose sum is σ = 5904347904. Its totient is φ = 593132544.

The previous prime is 1890742171. The next prime is 1890742187. The reversal of 1890742176 is 6712470981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1890742176² = 7149811952210429952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1890742171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125041 + ... + 139343.

It is an arithmetic number, because the mean of its divisors is an integer number (41002416).

Almost surely, 2^1890742176 is an apocalyptic number.

1890742176 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 1890742176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952173952).

1890742176 is an abundant number, since it is smaller than the sum of its proper divisors (4013605728).

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

1890742176 is a wasteful number, since it uses less digits than its factorization.

1890742176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14345 (or 14325 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1890742176 is about 43482.6652357005. The cubic root of 1890742176 is about 1236.5474057497.

The spelling of 1890742176 in words is "one billion, eight hundred ninety million, seven hundred forty-two thousand, one hundred seventy-six".