983115540 has 144 divisors (see below), whose sum is σ = 3268714176. Its totient is φ = 237196800.

The previous prime is 983115527. The next prime is 983115607. The reversal of 983115540 is 45511389.

983115540 is a `hidden beast` number, since 98 + 3 + 11 + 554 + 0 = 666.

983115540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 983115495 and 983115504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460275 + ... + 462405.

It is an arithmetic number, because the mean of its divisors is an integer number (22699404).

Almost surely, 2^983115540 is an apocalyptic number.

983115540 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 983115540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634357088).

983115540 is an abundant number, since it is smaller than the sum of its proper divisors (2285598636).

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

983115540 is a wasteful number, since it uses less digits than its factorization.

983115540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 983115540 is about 31354.6733358841. The cubic root of 983115540 is about 994.3398700402.

The spelling of 983115540 in words is "nine hundred eighty-three million, one hundred fifteen thousand, five hundred forty".