98781120 has 280 divisors, whose sum is σ = 364382304. Its totient is φ = 25380864.

The previous prime is 98781091. The next prime is 98781161. The reversal of 98781120 is 2118789.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 958989 + ... + 959091.

Almost surely, 2^98781120 is an apocalyptic number.

98781120 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 98781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182191152).

98781120 is an abundant number, since it is smaller than the sum of its proper divisors (265601184).

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

98781120 is a wasteful number, since it uses less digits than its factorization.

98781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 98781120 is about 9938.8691509648. The cubic root of 98781120 is about 462.2653223836.

The spelling of 98781120 in words is "ninety-eight million, seven hundred eighty-one thousand, one hundred twenty".