98614656 has 144 divisors (see below), whose sum is σ = 330293340. Its totient is φ = 28159488.

The previous prime is 98614643. The next prime is 98614667. The reversal of 98614656 is 65641689.

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

It is a super-3 number, since 3×98614656³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55575 + ... + 57321.

Almost surely, 2^98614656 is an apocalyptic number.

98614656 is a gapful number since it is divisible by the number (96) 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 98614656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165146670).

98614656 is an abundant number, since it is smaller than the sum of its proper divisors (231678684).

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

98614656 is a wasteful number, since it uses less digits than its factorization.

98614656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1759 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 98614656 is about 9930.4912265205. The cubic root of 98614656 is about 462.0055095762.

It can be divided in two parts, 98 and 614656, that multiplied together give a cube (60236288 = 392³).

The spelling of 98614656 in words is "ninety-eight million, six hundred fourteen thousand, six hundred fifty-six".