98052096 has 48 divisors (see below), whose sum is σ = 261424800. Its totient is φ = 32681984.

The previous prime is 98052091. The next prime is 98052127. The reversal of 98052096 is 69025089.

It is a happy number.

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

It is a super-2 number, since 2×98052096² = 19228427059986432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98052091) 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, 1836 + ... + 14123.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2^98052096 is an apocalyptic number.

98052096 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 98052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

98052096 is an abundant number, since it is smaller than the sum of its proper divisors (163372704).

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

98052096 is a wasteful number, since it uses less digits than its factorization.

98052096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15984 (or 15964 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 98052096 is about 9902.1258323655. The cubic root of 98052096 is about 461.1253104104.

The spelling of 98052096 in words is "ninety-eight million, fifty-two thousand, ninety-six".