949783680 has 96 divisors (see below), whose sum is σ = 3279741660. Its totient is φ = 253274112.

The previous prime is 949783649. The next prime is 949783717. The reversal of 949783680 is 86387949.

It can be written as a sum of positive squares in 2 ways, for example, as 930494016 + 19289664 = 30504^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76687 + ... + 88206.

Almost surely, 2^949783680 is an apocalyptic number.

949783680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

949783680 is an abundant number, since it is smaller than the sum of its proper divisors (2329957980).

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

949783680 is a wasteful number, since it uses less digits than its factorization.

949783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164918 (or 164903 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 949783680 is about 30818.5606412759. The cubic root of 949783680 is about 982.9729517920.

The spelling of 949783680 in words is "nine hundred forty-nine million, seven hundred eighty-three thousand, six hundred eighty".