947352560 has 320 divisors, whose sum is σ = 2927812608. Its totient is φ = 278784000.

The previous prime is 947352533. The next prime is 947352611. The reversal of 947352560 is 65253749.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 23106140 + ... + 23106180.

Almost surely, 2^947352560 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 947352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463906304).

947352560 is an abundant number, since it is smaller than the sum of its proper divisors (1980460048).

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

947352560 is a wasteful number, since it uses less digits than its factorization.

947352560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 947352560 is about 30779.0929041127. The cubic root of 947352560 is about 982.1335441403.

The spelling of 947352560 in words is "nine hundred forty-seven million, three hundred fifty-two thousand, five hundred sixty".