984625920 has 216 divisors, whose sum is σ = 3438629376. Its totient is φ = 260112384.

The previous prime is 984625919. The next prime is 984625921. The reversal of 984625920 is 29526489.

It is an interprime number because it is at equal distance from previous prime (984625919) and next prime (984625921).

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

It is not an unprimeable number, because it can be changed into a prime (984625921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462704 + ... + 1463376.

Almost surely, 2^984625920 is an apocalyptic number.

984625920 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 984625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719314688).

984625920 is an abundant number, since it is smaller than the sum of its proper divisors (2454003456).

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

984625920 is a wasteful number, since it uses less digits than its factorization.

984625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 984625920 is about 31378.7494970721. The cubic root of 984625920 is about 994.8488175477.

The spelling of 984625920 in words is "nine hundred eighty-four million, six hundred twenty-five thousand, nine hundred twenty".