947677920 has 384 divisors, whose sum is σ = 3699634176. Its totient is φ = 198967296.

The previous prime is 947677879. The next prime is 947677933. The reversal of 947677920 is 29776749.

It is a happy number.

947677920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2684464 + ... + 2684816.

It is an arithmetic number, because the mean of its divisors is an integer number (9634464).

Almost surely, 2^947677920 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 947677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849817088).

947677920 is an abundant number, since it is smaller than the sum of its proper divisors (2751956256).

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

947677920 is a wasteful number, since it uses less digits than its factorization.

947677920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The square root of 947677920 is about 30784.3778563089. The cubic root of 947677920 is about 982.2459663466.

The spelling of 947677920 in words is "nine hundred forty-seven million, six hundred seventy-seven thousand, nine hundred twenty".