98277120 has 216 divisors, whose sum is σ = 358722000. Its totient is φ = 24772608.

The previous prime is 98277097. The next prime is 98277131. The reversal of 98277120 is 2177289.

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 23 ways as a sum of consecutive naturals, for example, 218656 + ... + 219104.

It is an arithmetic number, because the mean of its divisors is an integer number (1660750).

Almost surely, 2^98277120 is an apocalyptic number.

98277120 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 98277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179361000).

98277120 is an abundant number, since it is smaller than the sum of its proper divisors (260444880).

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

98277120 is a wasteful number, since it uses less digits than its factorization.

98277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 98277120 is about 9913.4817294430. The cubic root of 98277120 is about 461.4777930512.

It can be divided in two parts, 9 and 8277120, that added together give a square (8277129 = 2877²).

The spelling of 98277120 in words is "ninety-eight million, two hundred seventy-seven thousand, one hundred twenty".