949649760 has 288 divisors, whose sum is σ = 3451750848. Its totient is φ = 237219840.

The previous prime is 949649741. The next prime is 949649761. The reversal of 949649760 is 67946949.

949649760 is a `hidden beast` number, since 9 + 4 + 96 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 949649697 and 949649706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949649761) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1755090 + ... + 1755630.

It is an arithmetic number, because the mean of its divisors is an integer number (11985246).

Almost surely, 2^949649760 is an apocalyptic number.

949649760 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 949649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725875424).

949649760 is an abundant number, since it is smaller than the sum of its proper divisors (2502101088).

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

949649760 is a wasteful number, since it uses less digits than its factorization.

949649760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 949649760 is about 30816.3878480266. The cubic root of 949649760 is about 982.9267497188.

The spelling of 949649760 in words is "nine hundred forty-nine million, six hundred forty-nine thousand, seven hundred sixty".