98880400 has 30 divisors (see below), whose sum is σ = 237561122. Its totient is φ = 39552000.

The previous prime is 98880377. The next prime is 98880403. The reversal of 98880400 is 408889.

It can be written as a sum of positive squares in 3 ways, for example, as 7639696 + 91240704 = 2764^2 + 9552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 98880400.

It is not an unprimeable number, because it can be changed into a prime (98880403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123201 + ... + 124000.

Almost surely, 2^98880400 is an apocalyptic number.

It is an amenable number.

98880400 is an abundant number, since it is smaller than the sum of its proper divisors (138680722).

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

98880400 is a wasteful number, since it uses less digits than its factorization.

98880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247219 (or 247208 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 98880400 is about 9943.8624286542. The cubic root of 98880400 is about 462.4201371721.

It can be divided in two parts, 9 and 8880400, that multiplied together give a square (79923600 = 8940²).

The spelling of 98880400 in words is "ninety-eight million, eight hundred eighty thousand, four hundred".