98190144 has 280 divisors, whose sum is σ = 330451968. Its totient is φ = 28615680.

The previous prime is 98190139. The next prime is 98190149. The reversal of 98190144 is 44109189.

It is an interprime number because it is at equal distance from previous prime (98190139) and next prime (98190149).

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 = 98190099 and 98190108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98190149) 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, 2089129 + ... + 2089175.

Almost surely, 2^98190144 is an apocalyptic number.

98190144 is a gapful number since it is divisible by the number (94) 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 98190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165225984).

98190144 is an abundant number, since it is smaller than the sum of its proper divisors (232261824).

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

98190144 is a wasteful number, since it uses less digits than its factorization.

98190144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 98190144 is about 9909.0940050037. The cubic root of 98190144 is about 461.3416157497.

It can be divided in two parts, 981 and 90144, that added together give a cube (91125 = 45³).

The spelling of 98190144 in words is "ninety-eight million, one hundred ninety thousand, one hundred forty-four".