981481600 has 96 divisors (see below), whose sum is σ = 2645076240.
Its totient is φ = 356889600.
The previous prime is 981481561. The next prime is 981481601. The reversal of 981481600 is 6184189.
It can be divided in two parts, 981481 and 600, that added together give a square (982081 = 9912).
It is a happy number.
It is a super-2 number, since 2×9814816002 = 1926612262277120000, which contains 22 as substring.
It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 981481600.
It is not an unprimeable number, because it can be changed into a prime (981481601) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21259 + ... + 49141.
Almost surely, 2981481600 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 981481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322538120).
981481600 is an abundant number, since it is smaller than the sum of its proper divisors (1663594640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
981481600 is a wasteful number, since it uses less digits than its factorization.
981481600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27918 (or 27901 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 37.
The square root of 981481600 is about 31328.6067356976.
The cubic root of 981481600 is about 993.7886996255.
The spelling of 981481600 in words is "nine hundred eighty-one million, four hundred eighty-one thousand, six hundred".