1897682976 has 216 divisors, whose sum is σ = 6495472620. Its totient is φ = 523385856.

The previous prime is 1897682933. The next prime is 1897683019. The reversal of 1897682976 is 6792867981.

It is an interprime number because it is at equal distance from previous prime (1897682933) and next prime (1897683019).

It can be written as a sum of positive squares in 2 ways, for example, as 1871427600 + 26255376 = 43260^2 + 5124^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 406930 + ... + 411566.

Almost surely, 2^1897682976 is an apocalyptic number.

1897682976 is a gapful number since it is divisible by the number (16) 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 1897682976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247736310).

1897682976 is an abundant number, since it is smaller than the sum of its proper divisors (4597789644).

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

1897682976 is a wasteful number, since it uses less digits than its factorization.

1897682976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4678 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The square root of 1897682976 is about 43562.4032394908. The cubic root of 1897682976 is about 1238.0586548958.

The spelling of 1897682976 in words is "one billion, eight hundred ninety-seven million, six hundred eighty-two thousand, nine hundred seventy-six".