1896734880 has 240 divisors, whose sum is σ = 7088475240. Its totient is φ = 475987968.

The previous prime is 1896734857. The next prime is 1896734923. The reversal of 1896734880 is 884376981.

1896734880 is a `hidden beast` number, since 1 + 8 + 96 + 73 + 488 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1531313424 + 365421456 = 39132^2 + 19116^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1896734880² = 7195206410017228800, which contains 22 as substring.

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, 216016 + ... + 224624.

Almost surely, 2^1896734880 is an apocalyptic number.

1896734880 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 1896734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544237620).

1896734880 is an abundant number, since it is smaller than the sum of its proper divisors (5191740360).

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

1896734880 is a wasteful number, since it uses less digits than its factorization.

1896734880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8653 (or 8636 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1896734880 is about 43551.5198357072. The cubic root of 1896734880 is about 1237.8524395607.

The spelling of 1896734880 in words is "one billion, eight hundred ninety-six million, seven hundred thirty-four thousand, eight hundred eighty".