983575040 has 120 divisors (see below), whose sum is σ = 2743649172. Its totient is φ = 337182720.

The previous prime is 983575039. The next prime is 983575079. The reversal of 983575040 is 40575389.

It can be written as a sum of positive squares in 2 ways, for example, as 962488576 + 21086464 = 31024^2 + 4592^2 .

It is a super-2 number, since 2×983575040² = 1934839718622003200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121520 + ... + 129360.

Almost surely, 2^983575040 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 983575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371824586).

983575040 is an abundant number, since it is smaller than the sum of its proper divisors (1760074132).

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

983575040 is an equidigital number, since it uses as much as digits as its factorization.

983575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 983575040 is about 31361.9999362286. Note that the first 4 decimals coincide. The cubic root of 983575040 is about 994.4947612971.

The spelling of 983575040 in words is "nine hundred eighty-three million, five hundred seventy-five thousand, forty".