98594496 has 560 divisors, whose sum is σ = 413064960. Its totient is φ = 22394880.

The previous prime is 98594473. The next prime is 98594513. The reversal of 98594496 is 69449589.

98594496 = 51³ + 52³ + ... + 141³.

98594496 is a `hidden beast` number, since 9 + 8 + 594 + 49 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5189175 + ... + 5189193.

It is an arithmetic number, because the mean of its divisors is an integer number (737616).

Almost surely, 2^98594496 is an apocalyptic number.

98594496 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 98594496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206532480).

98594496 is an abundant number, since it is smaller than the sum of its proper divisors (314470464).

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

98594496 is a wasteful number, since it uses less digits than its factorization.

98594496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 55 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 98594496 is about 9929.4761191112. The cubic root of 98594496 is about 461.9740245136.

It can be divided in two parts, 985 and 94496, that added together give a square (95481 = 309²).

The spelling of 98594496 in words is "ninety-eight million, five hundred ninety-four thousand, four hundred ninety-six".