98736000 has 384 divisors, whose sum is σ = 380933280. Its totient is φ = 22528000.

The previous prime is 98735963. The next prime is 98736007. The reversal of 98736000 is 63789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98736007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5807992 + ... + 5808008.

Almost surely, 2^98736000 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 98736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

98736000 is an abundant number, since it is smaller than the sum of its proper divisors (282197280).

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

98736000 is a wasteful number, since it uses less digits than its factorization.

98736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 98736000 is about 9936.5990157599. The cubic root of 98736000 is about 462.1949290810.

Adding to 98736000 its reverse (63789), we get a palindrome (98799789).

The spelling of 98736000 in words is "ninety-eight million, seven hundred thirty-six thousand".