983852640 has 72 divisors (see below), whose sum is σ = 3357402048. Its totient is φ = 262360320.

The previous prime is 983852627. The next prime is 983852647. The reversal of 983852640 is 46258389.

983852640 is a `hidden beast` number, since 9 + 8 + 385 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (983852647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340176 + ... + 343055.

It is an arithmetic number, because the mean of its divisors is an integer number (46630584).

Almost surely, 2^983852640 is an apocalyptic number.

983852640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

983852640 is an abundant number, since it is smaller than the sum of its proper divisors (2373549408).

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

983852640 is a wasteful number, since it uses less digits than its factorization.

983852640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683252 (or 683241 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 983852640 is about 31366.4253621607. The cubic root of 983852640 is about 994.5883131415.

It can be divided in two parts, 98385 and 2640, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 983852640 in words is "nine hundred eighty-three million, eight hundred fifty-two thousand, six hundred forty".