98637120 has 168 divisors, whose sum is σ = 351266760. Its totient is φ = 25374720.

The previous prime is 98637107. The next prime is 98637127. The reversal of 98637120 is 2173689.

98637120 is a `hidden beast` number, since 9 + 8 + 637 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29680704 + 68956416 = 5448^2 + 8304^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98637127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82930 + ... + 84110.

Almost surely, 2^98637120 is an apocalyptic number.

98637120 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 98637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633380).

98637120 is an abundant number, since it is smaller than the sum of its proper divisors (252629640).

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

98637120 is a wasteful number, since it uses less digits than its factorization.

98637120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 98637120 is about 9931.6222239874. The cubic root of 98637120 is about 462.0405878773.

The spelling of 98637120 in words is "ninety-eight million, six hundred thirty-seven thousand, one hundred twenty".