947890944 has 576 divisors, whose sum is σ = 3791047680. Its totient is φ = 225607680.

The previous prime is 947890939. The next prime is 947890949. The reversal of 947890944 is 449098749.

It is a happy number.

947890944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (947890939) and next prime (947890949).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×947890944² = 1796994483434422272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947890949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6918844 + ... + 6918980.

It is an arithmetic number, because the mean of its divisors is an integer number (6581680).

Almost surely, 2^947890944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 947890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895523840).

947890944 is an abundant number, since it is smaller than the sum of its proper divisors (2843156736).

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

947890944 is a wasteful number, since it uses less digits than its factorization.

947890944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

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

The square root of 947890944 is about 30787.8375986363. The cubic root of 947890944 is about 982.3195589615.

The spelling of 947890944 in words is "nine hundred forty-seven million, eight hundred ninety thousand, nine hundred forty-four".