947952720 has 720 divisors, whose sum is σ = 4034075136. Its totient is φ = 205286400.

The previous prime is 947952661. The next prime is 947952763. The reversal of 947952720 is 27259749.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×947952720² = 1797228718710796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30579105 + ... + 30579135.

Almost surely, 2^947952720 is an apocalyptic number.

947952720 is a gapful number since it is divisible by the number (90) 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 947952720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017037568).

947952720 is an abundant number, since it is smaller than the sum of its proper divisors (3086122416).

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

947952720 is a wasteful number, since it uses less digits than its factorization.

947952720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 947952720 is about 30788.8408356015. The cubic root of 947952720 is about 982.3408984258.

The spelling of 947952720 in words is "nine hundred forty-seven million, nine hundred fifty-two thousand, seven hundred twenty".