981052800 has 384 divisors, whose sum is σ = 3980578560. Its totient is φ = 206807040.

The previous prime is 981052789. The next prime is 981052811. The reversal of 981052800 is 8250189.

It is a happy number.

981052800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (981052789) and next prime (981052811).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873039 + ... + 874161.

It is an arithmetic number, because the mean of its divisors is an integer number (10366090).

Almost surely, 2^981052800 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 981052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990289280).

981052800 is an abundant number, since it is smaller than the sum of its proper divisors (2999525760).

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

981052800 is a wasteful number, since it uses less digits than its factorization.

981052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 981052800 is about 31321.7624025213. The cubic root of 981052800 is about 993.6439529256.

The spelling of 981052800 in words is "nine hundred eighty-one million, fifty-two thousand, eight hundred".