98275968 has 144 divisors (see below), whose sum is σ = 329159610. Its totient is φ = 28062720.

The previous prime is 98275967. The next prime is 98275979. The reversal of 98275968 is 86957289.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 98247744 + 28224 = 9912^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (98275967) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55578 + ... + 57318.

Almost surely, 2^98275968 is an apocalyptic number.

98275968 is a gapful number since it is divisible by the number (98) 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 98275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164579805).

98275968 is an abundant number, since it is smaller than the sum of its proper divisors (230883642).

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

98275968 is a wasteful number, since it uses less digits than its factorization.

98275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1753 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 98275968 is about 9913.4236265783. The cubic root of 98275968 is about 461.4759899035.

The spelling of 98275968 in words is "ninety-eight million, two hundred seventy-five thousand, nine hundred sixty-eight".