98754120 has 128 divisors (see below), whose sum is σ = 334800000. Its totient is φ = 25885440.

The previous prime is 98754091. The next prime is 98754163. The reversal of 98754120 is 2145789.

98754120 is a `hidden beast` number, since 98 + 7 + 541 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65131 + ... + 66629.

It is an arithmetic number, because the mean of its divisors is an integer number (2615625).

Almost surely, 2^98754120 is an apocalyptic number.

98754120 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 98754120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400000).

98754120 is an abundant number, since it is smaller than the sum of its proper divisors (236045880).

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

98754120 is a wasteful number, since it uses less digits than its factorization.

98754120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 98754120 is about 9937.5107547112. The cubic root of 98754120 is about 462.2232013081.

The spelling of 98754120 in words is "ninety-eight million, seven hundred fifty-four thousand, one hundred twenty".