947520000 has 600 divisors, whose sum is σ = 3988423296. Its totient is φ = 211968000.

The previous prime is 947519981. The next prime is 947520001. The reversal of 947520000 is 25749.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947520001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20159977 + ... + 20160023.

Almost surely, 2^947520000 is an apocalyptic number.

947520000 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 947520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994211648).

947520000 is an abundant number, since it is smaller than the sum of its proper divisors (3040903296).

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

947520000 is an equidigital number, since it uses as much as digits as its factorization.

947520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 947520000 is about 30781.8128121136. The cubic root of 947520000 is about 982.1914031887.

Adding to 947520000 its reverse (25749), we get a palindrome (947545749).

The spelling of 947520000 in words is "nine hundred forty-seven million, five hundred twenty thousand".