98029440 has 320 divisors, whose sum is σ = 367297920. Its totient is φ = 24883200.

The previous prime is 98029439. The next prime is 98029447. The reversal of 98029440 is 4492089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×98029440² = 19219542213427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 98029395 and 98029404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98029447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1607010 + ... + 1607070.

It is an arithmetic number, because the mean of its divisors is an integer number (1147806).

Almost surely, 2^98029440 is an apocalyptic number.

98029440 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 98029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

98029440 is an abundant number, since it is smaller than the sum of its proper divisors (269268480).

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

98029440 is a wasteful number, since it uses less digits than its factorization.

98029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 98029440 is about 9900.9817695014. The cubic root of 98029440 is about 461.0897916736.

The spelling of 98029440 in words is "ninety-eight million, twenty-nine thousand, four hundred forty".