98683920 has 200 divisors, whose sum is σ = 348482904. Its totient is φ = 25878528.

The previous prime is 98683919. The next prime is 98683927. The reversal of 98683920 is 2938689.

It can be written as a sum of positive squares in 4 ways, for example, as 3504384 + 95179536 = 1872^2 + 9756^2 .

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 (98683927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 628482 + ... + 628638.

Almost surely, 2^98683920 is an apocalyptic number.

98683920 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 98683920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174241452).

98683920 is an abundant number, since it is smaller than the sum of its proper divisors (249798984).

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

98683920 is a wasteful number, since it uses less digits than its factorization.

98683920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

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

The square root of 98683920 is about 9933.9780551398. The cubic root of 98683920 is about 462.1136505693.

The spelling of 98683920 in words is "ninety-eight million, six hundred eighty-three thousand, nine hundred twenty".