949656672 has 72 divisors (see below), whose sum is σ = 2725913736. Its totient is φ = 313583616.

The previous prime is 949656671. The next prime is 949656713. The reversal of 949656672 is 276656949.

949656672 is a `hidden beast` number, since 9 + 4 + 9 + 6 + 566 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949656671) 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, 15408 + ... + 46224.

It is an arithmetic number, because the mean of its divisors is an integer number (37859913).

Almost surely, 2^949656672 is an apocalyptic number.

It is a pronic number, being equal to 30816×30817.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362956868).

949656672 is an abundant number, since it is smaller than the sum of its proper divisors (1776257064).

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

949656672 is a wasteful number, since it uses less digits than its factorization.

949656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30940 (or 30929 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 949656672 is about 30816.4999959437. The cubic root of 949656672 is about 982.9291344483.

The spelling of 949656672 in words is "nine hundred forty-nine million, six hundred fifty-six thousand, six hundred seventy-two".