98504640 has 224 divisors, whose sum is σ = 374660160. Its totient is φ = 24219648.

The previous prime is 98504617. The next prime is 98504641. The reversal of 98504640 is 4640589.

98504640 is a `hidden beast` number, since 9 + 8 + 5 + 0 + 4 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 98504595 and 98504604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98504641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111882 + ... + 112758.

It is an arithmetic number, because the mean of its divisors is an integer number (1672590).

Almost surely, 2^98504640 is an apocalyptic number.

98504640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187330080).

98504640 is an abundant number, since it is smaller than the sum of its proper divisors (276155520).

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

98504640 is a wasteful number, since it uses less digits than its factorization.

98504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 900 counting only the distinct ones).

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

The square root of 98504640 is about 9924.9503777097. The cubic root of 98504640 is about 461.8336388711.

The spelling of 98504640 in words is "ninety-eight million, five hundred four thousand, six hundred forty".