1896961680 has 200 divisors, whose sum is σ = 6669698112. Its totient is φ = 499620096.

The previous prime is 1896961679. The next prime is 1896961697. The reversal of 1896961680 is 861696981.

1896961680 is a `hidden beast` number, since 18 + 9 + 6 + 9 + 616 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 536077 + ... + 539603.

Almost surely, 2^1896961680 is an apocalyptic number.

1896961680 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 1896961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334849056).

1896961680 is an abundant number, since it is smaller than the sum of its proper divisors (4772736432).

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

1896961680 is a wasteful number, since it uses less digits than its factorization.

1896961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 1896961680 is about 43554.1235705645. The cubic root of 1896961680 is about 1237.9017758785.

The spelling of 1896961680 in words is "one billion, eight hundred ninety-six million, nine hundred sixty-one thousand, six hundred eighty".