98095920 has 160 divisors (see below), whose sum is σ = 341978112. Its totient is φ = 23079936.

The previous prime is 98095919. The next prime is 98095927. The reversal of 98095920 is 2959089.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (98095927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71077 + ... + 72443.

Almost surely, 2^98095920 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 98095920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

98095920 is an abundant number, since it is smaller than the sum of its proper divisors (243882192).

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

98095920 is a wasteful number, since it uses less digits than its factorization.

98095920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 98095920 is about 9904.3384433288. The cubic root of 98095920 is about 461.1939995614.

The spelling of 98095920 in words is "ninety-eight million, ninety-five thousand, nine hundred twenty".