981129600 has 576 divisors, whose sum is σ = 4044830400. Its totient is φ = 223948800.

The previous prime is 981129593. The next prime is 981129649. The reversal of 981129600 is 6921189.

981129600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×981129600³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 6019119 + ... + 6019281.

It is an arithmetic number, because the mean of its divisors is an integer number (7022275).

Almost surely, 2^981129600 is an apocalyptic number.

981129600 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 981129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022415200).

981129600 is an abundant number, since it is smaller than the sum of its proper divisors (3063700800).

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

981129600 is a wasteful number, since it uses less digits than its factorization.

981129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 981129600 is about 31322.9883631814. The cubic root of 981129600 is about 993.6698808078.

The spelling of 981129600 in words is "nine hundred eighty-one million, one hundred twenty-nine thousand, six hundred".