97881600 has 120 divisors (see below), whose sum is σ = 323472600. Its totient is φ = 26091520.

The previous prime is 97881571. The next prime is 97881689. The reversal of 97881600 is 618879.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37126 + ... + 39674.

It is an arithmetic number, because the mean of its divisors is an integer number (2695605).

Almost surely, 2^97881600 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 97881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161736300).

97881600 is an abundant number, since it is smaller than the sum of its proper divisors (225591000).

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

97881600 is a wasteful number, since it uses less digits than its factorization.

97881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 97881600 is about 9893.5130262208. The cubic root of 97881600 is about 460.8578823894.

The spelling of 97881600 in words is "ninety-seven million, eight hundred eighty-one thousand, six hundred".