98509752 has 96 divisors (see below), whose sum is σ = 301158000. Its totient is φ = 28815360.

The previous prime is 98509751. The next prime is 98509771. The reversal of 98509752 is 25790589.

It is a happy number.

98509752 is a `hidden beast` number, since 98 + 509 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 98509698 and 98509707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98509751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20824 + ... + 25112.

Almost surely, 2^98509752 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 98509752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150579000).

98509752 is an abundant number, since it is smaller than the sum of its proper divisors (202648248).

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

98509752 is a wasteful number, since it uses less digits than its factorization.

98509752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 98509752 is about 9925.2079071423. The cubic root of 98509752 is about 461.8416278441.

The spelling of 98509752 in words is "ninety-eight million, five hundred nine thousand, seven hundred fifty-two".