98796960 has 288 divisors, whose sum is σ = 372677760. Its totient is φ = 23721984.

The previous prime is 98796949. The next prime is 98796967. The reversal of 98796960 is 6969789.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 98796897 and 98796906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98796967) 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, 629202 + ... + 629358.

It is an arithmetic number, because the mean of its divisors is an integer number (1294020).

Almost surely, 2^98796960 is an apocalyptic number.

98796960 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 98796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186338880).

98796960 is an abundant number, since it is smaller than the sum of its proper divisors (273880800).

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

98796960 is a wasteful number, since it uses less digits than its factorization.

98796960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 98796960 is about 9939.6659903641. The cubic root of 98796960 is about 462.2900298424.

The spelling of 98796960 in words is "ninety-eight million, seven hundred ninety-six thousand, nine hundred sixty".