947082240 has 704 divisors, whose sum is σ = 3961681920. Its totient is φ = 212336640.

The previous prime is 947082211. The next prime is 947082287. The reversal of 947082240 is 42280749.

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

It is a junction number, because it is equal to n+sod(n) for n = 947082195 and 947082204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30551025 + ... + 30551055.

Almost surely, 2^947082240 is an apocalyptic number.

947082240 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 947082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980840960).

947082240 is an abundant number, since it is smaller than the sum of its proper divisors (3014599680).

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

947082240 is a wasteful number, since it uses less digits than its factorization.

947082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 947082240 is about 30774.7012983067. The cubic root of 947082240 is about 982.0401204222.

The spelling of 947082240 in words is "nine hundred forty-seven million, eighty-two thousand, two hundred forty".