947125764 has 192 divisors, whose sum is σ = 2793799680. Its totient is φ = 275425920.

The previous prime is 947125757. The next prime is 947125769. The reversal of 947125764 is 467521749.

947125764 is a `hidden beast` number, since 9 + 4 + 71 + 2 + 576 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (947125769) 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, 2045397 + ... + 2045859.

It is an arithmetic number, because the mean of its divisors is an integer number (14551040).

Almost surely, 2^947125764 is an apocalyptic number.

947125764 is a gapful number since it is divisible by the number (94) 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 947125764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396899840).

947125764 is an abundant number, since it is smaller than the sum of its proper divisors (1846673916).

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

947125764 is a wasteful number, since it uses less digits than its factorization.

947125764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 559 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 947125764 is about 30775.4084294587. The cubic root of 947125764 is about 982.0551636985.

The spelling of 947125764 in words is "nine hundred forty-seven million, one hundred twenty-five thousand, seven hundred sixty-four".