947320920 has 768 divisors, whose sum is σ = 4240252800. Its totient is φ = 188116992.

The previous prime is 947320919. The next prime is 947320921. The reversal of 947320920 is 29023749.

It is an interprime number because it is at equal distance from previous prime (947320919) and next prime (947320921).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947320921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55724752 + ... + 55724768.

Almost surely, 2^947320920 is an apocalyptic number.

947320920 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 947320920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120126400).

947320920 is an abundant number, since it is smaller than the sum of its proper divisors (3292931880).

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

947320920 is a wasteful number, since it uses less digits than its factorization.

947320920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 947320920 is about 30778.5789145633. The cubic root of 947320920 is about 982.1226101429.

The spelling of 947320920 in words is "nine hundred forty-seven million, three hundred twenty thousand, nine hundred twenty".