1896007680 has 288 divisors, whose sum is σ = 7512523200. Its totient is φ = 433225728.

The previous prime is 1896007679. The next prime is 1896007681. The reversal of 1896007680 is 867006981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1896007679) and next prime (1896007681).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1896007681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643651 + ... + 646589.

It is an arithmetic number, because the mean of its divisors is an integer number (26085150).

Almost surely, 2^1896007680 is an apocalyptic number.

1896007680 is a gapful number since it is divisible by the number (10) 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 1896007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756261600).

1896007680 is an abundant number, since it is smaller than the sum of its proper divisors (5616515520).

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

1896007680 is a wasteful number, since it uses less digits than its factorization.

1896007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1896007680 is about 43543.1703025859. The cubic root of 1896007680 is about 1237.6942235710.

The spelling of 1896007680 in words is "one billion, eight hundred ninety-six million, seven thousand, six hundred eighty".