844990560 has 288 divisors, whose sum is σ = 3109736448. Its totient is φ = 208327680.

The previous prime is 844990541. The next prime is 844990561. The reversal of 844990560 is 65099448.

It is a happy number.

844990560 is a `hidden beast` number, since 84 + 4 + 9 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×844990560² = 1428018092978227200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844990561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026309 + ... + 1027131.

It is an arithmetic number, because the mean of its divisors is an integer number (10797696).

Almost surely, 2^844990560 is an apocalyptic number.

844990560 is a gapful number since it is divisible by the number (80) 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 844990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554868224).

844990560 is an abundant number, since it is smaller than the sum of its proper divisors (2264745888).

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

844990560 is a wasteful number, since it uses less digits than its factorization.

844990560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 844990560 is about 29068.7213341076. The cubic root of 844990560 is about 945.4036740156.

The spelling of 844990560 in words is "eight hundred forty-four million, nine hundred ninety thousand, five hundred sixty".