1896485760 has 768 divisors, whose sum is σ = 7841433600. Its totient is φ = 418037760.

The previous prime is 1896485737. The next prime is 1896485783. The reversal of 1896485760 is 675846981.

1896485760 is a `hidden beast` number, since 1 + 8 + 9 + 64 + 8 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1896485737) and next prime (1896485783).

It is a super-3 number, since 3×1896485760³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1896485697 and 1896485706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44104299 + ... + 44104341.

It is an arithmetic number, because the mean of its divisors is an integer number (10210200).

Almost surely, 2^1896485760 is an apocalyptic number.

1896485760 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 1896485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920716800).

1896485760 is an abundant number, since it is smaller than the sum of its proper divisors (5944947840).

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

1896485760 is a wasteful number, since it uses less digits than its factorization.

1896485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1896485760 is about 43548.6596808673. The cubic root of 1896485760 is about 1237.7982433901.

The spelling of 1896485760 in words is "one billion, eight hundred ninety-six million, four hundred eighty-five thousand, seven hundred sixty".