983492160 has 224 divisors, whose sum is σ = 3779032320. Its totient is φ = 211550208.

The previous prime is 983492131. The next prime is 983492161. The reversal of 983492160 is 61294389.

983492160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (983492161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109936 + ... + 118544.

It is an arithmetic number, because the mean of its divisors is an integer number (16870680).

Almost surely, 2^983492160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889516160).

983492160 is an abundant number, since it is smaller than the sum of its proper divisors (2795540160).

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

983492160 is a wasteful number, since it uses less digits than its factorization.

983492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8653 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 983492160 is about 31360.6785640872. The cubic root of 983492160 is about 994.4668271326.

The spelling of 983492160 in words is "nine hundred eighty-three million, four hundred ninety-two thousand, one hundred sixty".