947363968 has 64 divisors (see below), whose sum is σ = 1957616640. Its totient is φ = 456192000.

The previous prime is 947363899. The next prime is 947363969. The reversal of 947363968 is 869363749.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (947363969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074888 + ... + 1075768.

It is an arithmetic number, because the mean of its divisors is an integer number (30587760).

Almost surely, 2^947363968 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 947363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978808320).

947363968 is an abundant number, since it is smaller than the sum of its proper divisors (1010252672).

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

947363968 is a wasteful number, since it uses less digits than its factorization.

947363968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1185 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 55.

The square root of 947363968 is about 30779.2782241559. The cubic root of 947363968 is about 982.1374864017.

It can be divided in two parts, 9473 and 63968, that added together give a square (73441 = 271²).

The spelling of 947363968 in words is "nine hundred forty-seven million, three hundred sixty-three thousand, nine hundred sixty-eight".