47168640 has 192 divisors, whose sum is σ = 171849600. Its totient is φ = 11888640.

The previous prime is 47168633. The next prime is 47168657. The reversal of 47168640 is 4686174.

47168640 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 8 + 640 = 666.

47168640 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 (192).

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 = 47168595 and 47168604.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 109225 + ... + 109655.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^47168640 is an apocalyptic number.

47168640 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 47168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

47168640 is an abundant number, since it is smaller than the sum of its proper divisors (124680960).

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

47168640 is a wasteful number, since it uses less digits than its factorization.

47168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

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

The square root of 47168640 is about 6867.9429234670. The cubic root of 47168640 is about 361.3137186407.

The spelling of 47168640 in words is "forty-seven million, one hundred sixty-eight thousand, six hundred forty".