98604900 has 81 divisors (see below), whose sum is σ = 310008153. Its totient is φ = 26215200.

The previous prime is 98604859. The next prime is 98604907. The reversal of 98604900 is 940689.

The square root of 98604900 is 9930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35497764 + 63107136 = 5958^2 + 7944^2 .

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

It is not an unprimeable number, because it can be changed into a prime (98604907) 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 26 ways as a sum of consecutive naturals, for example, 297735 + ... + 298065.

Almost surely, 2^98604900 is an apocalyptic number.

98604900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98604900 is the 9930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98604900

98604900 is an abundant number, since it is smaller than the sum of its proper divisors (211403253).

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

98604900 is a wasteful number, since it uses less digits than its factorization.

98604900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 98604900 is about 461.9902735907.

Multiplying 98604900 by its sum of digits (36), we get a square (3549776400 = 59580²).

98604900 divided by its sum of digits (36) gives a square (2739025 = 1655²).

The spelling of 98604900 in words is "ninety-eight million, six hundred four thousand, nine hundred".