47564640 has 288 divisors, whose sum is σ = 180442080. Its totient is φ = 11354112.

The previous prime is 47564599. The next prime is 47564641. The reversal of 47564640 is 4646574.

47564640 is a `hidden beast` number, since 4 + 7 + 5 + 6 + 4 + 640 = 666.

47564640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 47564595 and 47564604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47564641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709887 + ... + 709953.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^47564640 is an apocalyptic number.

47564640 is a gapful number since it is divisible by the number (40) 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 47564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90221040).

47564640 is an abundant number, since it is smaller than the sum of its proper divisors (132877440).

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

47564640 is a wasteful number, since it uses less digits than its factorization.

47564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 47564640 is about 6896.7122602005. The cubic root of 47564640 is about 362.3220275798.

The spelling of 47564640 in words is "forty-seven million, five hundred sixty-four thousand, six hundred forty".