981153600 has 168 divisors, whose sum is σ = 3678984768. Its totient is φ = 224256000.

The previous prime is 981153577. The next prime is 981153629. The reversal of 981153600 is 6351189.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19000 + ... + 48200.

Almost surely, 2^981153600 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 981153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839492384).

981153600 is an abundant number, since it is smaller than the sum of its proper divisors (2697831168).

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

981153600 is a wasteful number, since it uses less digits than its factorization.

981153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29233 (or 29218 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 981153600 is about 31323.3714660475. The cubic root of 981153600 is about 993.6779829935.

The spelling of 981153600 in words is "nine hundred eighty-one million, one hundred fifty-three thousand, six hundred".