98715648 has 48 divisors (see below), whose sum is σ = 263193840. Its totient is φ = 32903168.

The previous prime is 98715647. The next prime is 98715649. The reversal of 98715648 is 84651789.

It is an interprime number because it is at equal distance from previous prime (98715647) and next prime (98715649).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×98715648³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 98715597 and 98715606.

It is not an unprimeable number, because it can be changed into a prime (98715641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1890 + ... + 14177.

It is an arithmetic number, because the mean of its divisors is an integer number (5483205).

Almost surely, 2^98715648 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 98715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131596920).

98715648 is an abundant number, since it is smaller than the sum of its proper divisors (164478192).

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

98715648 is a wasteful number, since it uses less digits than its factorization.

98715648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16092 (or 16072 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 98715648 is about 9935.5748701321. The cubic root of 98715648 is about 462.1631701900.

The spelling of 98715648 in words is "ninety-eight million, seven hundred fifteen thousand, six hundred forty-eight".