98449920 has 120 divisors (see below), whose sum is σ = 341039556. Its totient is φ = 26247168.

The previous prime is 98449903. The next prime is 98449921. The reversal of 98449920 is 2994489.

It can be written as a sum of positive squares in 2 ways, for example, as 94945536 + 3504384 = 9744^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (98449921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20904 + ... + 25176.

Almost surely, 2^98449920 is an apocalyptic number.

98449920 is a gapful number since it is divisible by the number (90) 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 98449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170519778).

98449920 is an abundant number, since it is smaller than the sum of its proper divisors (242589636).

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

98449920 is a wasteful number, since it uses less digits than its factorization.

98449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 98449920 is about 9922.1933059178. The cubic root of 98449920 is about 461.7481057847.

The spelling of 98449920 in words is "ninety-eight million, four hundred forty-nine thousand, nine hundred twenty".