1902127968 has 384 divisors, whose sum is σ = 6435072000. Its totient is φ = 541956096.

The previous prime is 1902127967. The next prime is 1902128003. The reversal of 1902127968 is 8697212091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1902127967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9558333 + ... + 9558531.

It is an arithmetic number, because the mean of its divisors is an integer number (16758000).

Almost surely, 2^1902127968 is an apocalyptic number.

1902127968 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 1902127968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536000).

1902127968 is an abundant number, since it is smaller than the sum of its proper divisors (4532944032).

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

1902127968 is a wasteful number, since it uses less digits than its factorization.

1902127968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1902127968 is about 43613.3920717020. The cubic root of 1902127968 is about 1239.0245467644.

The spelling of 1902127968 in words is "one billion, nine hundred two million, one hundred twenty-seven thousand, nine hundred sixty-eight".