947564352 has 504 divisors, whose sum is σ = 3530315520. Its totient is φ = 248209920.

The previous prime is 947564329. The next prime is 947564353. The reversal of 947564352 is 253465749.

947564352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 947564298 and 947564307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947564353) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30566577 + ... + 30566607.

Almost surely, 2^947564352 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 947564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765157760).

947564352 is an abundant number, since it is smaller than the sum of its proper divisors (2582751168).

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

947564352 is a wasteful number, since it uses less digits than its factorization.

947564352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 62 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 947564352 is about 30782.5332290895. The cubic root of 947564352 is about 982.2067279219.

The spelling of 947564352 in words is "nine hundred forty-seven million, five hundred sixty-four thousand, three hundred fifty-two".