841896900 has 216 divisors, whose sum is σ = 2904230784. Its totient is φ = 202694400.

The previous prime is 841896893. The next prime is 841896931. The reversal of 841896900 is 9698148.

841896900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×841896900² = 1417580780459220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 549135 + ... + 550665.

Almost surely, 2^841896900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841896900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452115392).

841896900 is an abundant number, since it is smaller than the sum of its proper divisors (2062333884).

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

841896900 is a wasteful number, since it uses less digits than its factorization.

841896900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 841896900 is about 29015.4596723884. The cubic root of 841896900 is about 944.2484997063.

The spelling of 841896900 in words is "eight hundred forty-one million, eight hundred ninety-six thousand, nine hundred".