47643120 has 320 divisors, whose sum is σ = 197130240. Its totient is φ = 10340352.

The previous prime is 47643109. The next prime is 47643133. The reversal of 47643120 is 2134674.

47643120 is a `hidden beast` number, since 4 + 7 + 643 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347692 + ... + 347828.

It is an arithmetic number, because the mean of its divisors is an integer number (616032).

Almost surely, 2^47643120 is an apocalyptic number.

47643120 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 47643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98565120).

47643120 is an abundant number, since it is smaller than the sum of its proper divisors (149487120).

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

47643120 is a wasteful number, since it uses less digits than its factorization.

47643120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 47643120 is about 6902.3995827538. The cubic root of 47643120 is about 362.5211909927.

Adding to 47643120 its reverse (2134674), we get a palindrome (49777794).

The spelling of 47643120 in words is "forty-seven million, six hundred forty-three thousand, one hundred twenty".