1897104768 has 384 divisors, whose sum is σ = 6020904960. Its totient is φ = 527155200.

The previous prime is 1897104763. The next prime is 1897104793. The reversal of 1897104768 is 8674017981.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1897104768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1897104763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46270828 + ... + 46270868.

It is an arithmetic number, because the mean of its divisors is an integer number (15679440).

Almost surely, 2^1897104768 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 1897104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010452480).

1897104768 is an abundant number, since it is smaller than the sum of its proper divisors (4123800192).

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

1897104768 is a wasteful number, since it uses less digits than its factorization.

1897104768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The square root of 1897104768 is about 43555.7661854318. The cubic root of 1897104768 is about 1237.9329001121.

The spelling of 1897104768 in words is "one billion, eight hundred ninety-seven million, one hundred four thousand, seven hundred sixty-eight".