98564004 has 216 divisors, whose sum is σ = 329644224. Its totient is φ = 24105600.

The previous prime is 98564003. The next prime is 98564009. The reversal of 98564004 is 40046589.

98564004 is a `hidden beast` number, since 9 + 8 + 5 + 640 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 98564004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98564003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2663874 + ... + 2663910.

Almost surely, 2^98564004 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 98564004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164822112).

98564004 is an abundant number, since it is smaller than the sum of its proper divisors (231080220).

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

98564004 is a wasteful number, since it uses less digits than its factorization.

98564004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 98564004 is about 9927.9405719414. The cubic root of 98564004 is about 461.9263952005.

The spelling of 98564004 in words is "ninety-eight million, five hundred sixty-four thousand, four".