98145504 has 72 divisors (see below), whose sum is σ = 288130752. Its totient is φ = 31656960.

The previous prime is 98145503. The next prime is 98145511. The reversal of 98145504 is 40554189.

98145504 is a `hidden beast` number, since 9 + 8 + 145 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98145503) 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 11 ways as a sum of consecutive naturals, for example, 3432 + ... + 14424.

It is an arithmetic number, because the mean of its divisors is an integer number (4001816).

Almost surely, 2^98145504 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 98145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144065376).

98145504 is an abundant number, since it is smaller than the sum of its proper divisors (189985248).

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

98145504 is a wasteful number, since it uses less digits than its factorization.

98145504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11040 (or 11029 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 98145504 is about 9906.8412725752. The cubic root of 98145504 is about 461.2716921959.

The spelling of 98145504 in words is "ninety-eight million, one hundred forty-five thousand, five hundred four".