983949120 has 1120 divisors, whose sum is σ = 4779751680. Its totient is φ = 185794560.

The previous prime is 983949107. The next prime is 983949121. The reversal of 983949120 is 21949389.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983949121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33929266 + ... + 33929294.

Almost surely, 2^983949120 is an apocalyptic number.

983949120 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 983949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389875840).

983949120 is an abundant number, since it is smaller than the sum of its proper divisors (3795802560).

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

983949120 is a wasteful number, since it uses less digits than its factorization.

983949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 983949120 is about 31367.9632746533. The cubic root of 983949120 is about 994.6208230047.

The spelling of 983949120 in words is "nine hundred eighty-three million, nine hundred forty-nine thousand, one hundred twenty".