1890275968 has 128 divisors (see below), whose sum is σ = 4587649920. Its totient is φ = 757334016.

The previous prime is 1890275923. The next prime is 1890275969. The reversal of 1890275968 is 8695720981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1890275969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2939455 + ... + 2940097.

It is an arithmetic number, because the mean of its divisors is an integer number (35841015).

Almost surely, 2^1890275968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1890275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293824960).

1890275968 is an abundant number, since it is smaller than the sum of its proper divisors (2697373952).

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

1890275968 is a wasteful number, since it uses less digits than its factorization.

1890275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 55.

The square root of 1890275968 is about 43477.3040562545. The cubic root of 1890275968 is about 1236.4457638849.

The spelling of 1890275968 in words is "one billion, eight hundred ninety million, two hundred seventy-five thousand, nine hundred sixty-eight".