1892947968 has 120 divisors (see below), whose sum is σ = 5654588940. Its totient is φ = 630927360.

The previous prime is 1892947967. The next prime is 1892948003. The reversal of 1892947968 is 8697492981.

1892947968 is a `hidden beast` number, since 1 + 89 + 29 + 479 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1892947967) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 160183 + ... + 171593.

Almost surely, 2^1892947968 is an apocalyptic number.

1892947968 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 1892947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827294470).

1892947968 is an abundant number, since it is smaller than the sum of its proper divisors (3761640972).

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

1892947968 is an equidigital number, since it uses as much as digits as its factorization.

1892947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11445 (or 11416 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The square root of 1892947968 is about 43508.0218810279. The cubic root of 1892947968 is about 1237.0280823171.

The spelling of 1892947968 in words is "one billion, eight hundred ninety-two million, nine hundred forty-seven thousand, nine hundred sixty-eight".