98000760 has 128 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 21926400.

The previous prime is 98000759. The next prime is 98000761. The reversal of 98000760 is 6700089.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98000759) and next prime (98000761).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98000761) 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, 14305 + ... + 20015.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2^98000760 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 98000760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

98000760 is an abundant number, since it is smaller than the sum of its proper divisors (247461000).

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

98000760 is a wasteful number, since it uses less digits than its factorization.

98000760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 98000760 is about 9899.5333223339. The cubic root of 98000760 is about 461.0448210162.

The spelling of 98000760 in words is "ninety-eight million, seven hundred sixty", and thus it is an aban number.