98053824 has 112 divisors (see below), whose sum is σ = 299776896. Its totient is φ = 27955200.

The previous prime is 98053817. The next prime is 98053849. The reversal of 98053824 is 42835089.

It is a happy number.

It is a super-2 number, since 2×98053824² = 19229104802045952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34539 + ... + 37269.

Almost surely, 2^98053824 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 98053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149888448).

98053824 is an abundant number, since it is smaller than the sum of its proper divisors (201723072).

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

98053824 is a wasteful number, since it uses less digits than its factorization.

98053824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 98053824 is about 9902.2130859722. The cubic root of 98053824 is about 461.1280192420.

The spelling of 98053824 in words is "ninety-eight million, fifty-three thousand, eight hundred twenty-four".