1891003968 has 420 divisors, whose sum is σ = 6778199296. Its totient is φ = 510105600.

The previous prime is 1891003963. The next prime is 1891003973. The reversal of 1891003968 is 8693001981.

It is an interprime number because it is at equal distance from previous prime (1891003963) and next prime (1891003973).

It is a Smith number, since the sum of its digits (45) 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 (1891003963) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46122028 + ... + 46122068.

Almost surely, 2^1891003968 is an apocalyptic number.

1891003968 is a gapful number since it is divisible by the number (18) 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 1891003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389099648).

1891003968 is an abundant number, since it is smaller than the sum of its proper divisors (4887195328).

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

1891003968 is an equidigital number, since it uses as much as digits as its factorization.

1891003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1891003968 is about 43485.6754345612. The cubic root of 1891003968 is about 1236.6044738652.

The spelling of 1891003968 in words is "one billion, eight hundred ninety-one million, three thousand, nine hundred sixty-eight".