947638080 has 168 divisors, whose sum is σ = 3347950632. Its totient is φ = 245846016.

The previous prime is 947638073. The next prime is 947638093. The reversal of 947638080 is 80836749.

It is a happy number.

947638080 is a `hidden beast` number, since 9 + 4 + 7 + 638 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108493056 + 839145024 = 10416^2 + 28968^2 .

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 23 ways as a sum of consecutive naturals, for example, 102114 + ... + 111006.

Almost surely, 2^947638080 is an apocalyptic number.

947638080 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 947638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673975316).

947638080 is an abundant number, since it is smaller than the sum of its proper divisors (2400312552).

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

947638080 is a wasteful number, since it uses less digits than its factorization.

947638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8953 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 947638080 is about 30783.7307680534. The cubic root of 947638080 is about 982.2322017448.

The spelling of 947638080 in words is "nine hundred forty-seven million, six hundred thirty-eight thousand, eighty".