98083440 has 320 divisors, whose sum is σ = 416640000. Its totient is φ = 20653056.

The previous prime is 98083417. The next prime is 98083441. The reversal of 98083440 is 4438089.

It is a super-2 number, since 2×98083440² = 19240722404467200, 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 = 98083395 and 98083404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98083441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196311 + ... + 196809.

It is an arithmetic number, because the mean of its divisors is an integer number (1302000).

Almost surely, 2^98083440 is an apocalyptic number.

98083440 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 98083440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320000).

98083440 is an abundant number, since it is smaller than the sum of its proper divisors (318556560).

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

98083440 is a wasteful number, since it uses less digits than its factorization.

98083440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 98083440 is about 9903.7083963534. The cubic root of 98083440 is about 461.1744406602.

The spelling of 98083440 in words is "ninety-eight million, eighty-three thousand, four hundred forty".