981120600 has 240 divisors, whose sum is σ = 3459622320. Its totient is φ = 257644800.

The previous prime is 981120589. The next prime is 981120607. The reversal of 981120600 is 6021189.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981120607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1149774 + ... + 1150626.

It is an arithmetic number, because the mean of its divisors is an integer number (14415093).

Almost surely, 2^981120600 is an apocalyptic number.

981120600 is a gapful number since it is divisible by the number (90) 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 981120600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729811160).

981120600 is an abundant number, since it is smaller than the sum of its proper divisors (2478501720).

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

981120600 is a wasteful number, since it uses less digits than its factorization.

981120600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 981120600 is about 31322.8446983986. The cubic root of 981120600 is about 993.6668424541. Note that the first 3 decimals are identical.

Adding to 981120600 its reverse (6021189), we get a palindrome (987141789).

The spelling of 981120600 in words is "nine hundred eighty-one million, one hundred twenty thousand, six hundred".