848441664 has 252 divisors, whose sum is σ = 2954206944. Its totient is φ = 231694848.

The previous prime is 848441639. The next prime is 848441681. The reversal of 848441664 is 466144848.

848441664 is a `hidden beast` number, since 8 + 484 + 4 + 166 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×848441664² = 1439706514422177792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 648499 + ... + 649805.

Almost surely, 2^848441664 is an apocalyptic number.

848441664 is a gapful number since it is divisible by the number (84) 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 848441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477103472).

848441664 is an abundant number, since it is smaller than the sum of its proper divisors (2105765280).

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

848441664 is a wasteful number, since it uses less digits than its factorization.

848441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1342 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 848441664 is about 29128.0219719774. The cubic root of 848441664 is about 946.6889959246.

The spelling of 848441664 in words is "eight hundred forty-eight million, four hundred forty-one thousand, six hundred sixty-four".