983935040 has 224 divisors, whose sum is σ = 2696675328. Its totient is φ = 338688000.

The previous prime is 983935039. The next prime is 983935049. The reversal of 983935040 is 40539389.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (983935049) 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, 7747457 + ... + 7747583.

Almost surely, 2^983935040 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 983935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348337664).

983935040 is an abundant number, since it is smaller than the sum of its proper divisors (1712740288).

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

983935040 is a wasteful number, since it uses less digits than its factorization.

983935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 983935040 is about 31367.7388410450. The cubic root of 983935040 is about 994.6160787458.

The spelling of 983935040 in words is "nine hundred eighty-three million, nine hundred thirty-five thousand, forty".