984981150 has 72 divisors (see below), whose sum is σ = 2696311800. Its totient is φ = 257699520.

The previous prime is 984981149. The next prime is 984981161. The reversal of 984981150 is 51189489.

984981150 is a `hidden beast` number, since 9 + 8 + 498 + 1 + 150 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 984981096 and 984981105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3201 + ... + 44499.

It is an arithmetic number, because the mean of its divisors is an integer number (37448775).

Almost surely, 2^984981150 is an apocalyptic number.

984981150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 984981150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348155900).

984981150 is an abundant number, since it is smaller than the sum of its proper divisors (1711330650).

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

984981150 is a wasteful number, since it uses less digits than its factorization.

984981150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41370 (or 41362 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 984981150 is about 31384.4093460431. The cubic root of 984981150 is about 994.9684425570.

The spelling of 984981150 in words is "nine hundred eighty-four million, nine hundred eighty-one thousand, one hundred fifty".