98392896 has 168 divisors, whose sum is σ = 336645504. Its totient is φ = 26864640.

The previous prime is 98392799. The next prime is 98392897. The reversal of 98392896 is 69829389.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98392897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92206 + ... + 93266.

Almost surely, 2^98392896 is an apocalyptic number.

98392896 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 98392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168322752).

98392896 is an abundant number, since it is smaller than the sum of its proper divisors (238252608).

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

98392896 is a wasteful number, since it uses less digits than its factorization.

98392896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1096 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 98392896 is about 9919.3193314864. The cubic root of 98392896 is about 461.6589375749.

The spelling of 98392896 in words is "ninety-eight million, three hundred ninety-two thousand, eight hundred ninety-six".