984168540 has 72 divisors (see below), whose sum is σ = 2997933120. Its totient is φ = 261335424.

The previous prime is 984168533. The next prime is 984168583. The reversal of 984168540 is 45861489.

984168540 is a `hidden beast` number, since 9 + 8 + 41 + 68 + 540 = 666.

984168540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31582 + ... + 54458.

It is an arithmetic number, because the mean of its divisors is an integer number (41637960).

Almost surely, 2^984168540 is an apocalyptic number.

984168540 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 984168540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498966560).

984168540 is an abundant number, since it is smaller than the sum of its proper divisors (2013764580).

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

984168540 is a wasteful number, since it uses less digits than its factorization.

984168540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23131 (or 23126 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 984168540 is about 31371.4605971733. The cubic root of 984168540 is about 994.6947507705.

The spelling of 984168540 in words is "nine hundred eighty-four million, one hundred sixty-eight thousand, five hundred forty".