47155680 has 288 divisors, whose sum is σ = 189876960. Its totient is φ = 10506240.

The previous prime is 47155657. The next prime is 47155687. The reversal of 47155680 is 8655174.

47155680 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 zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47155687) 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, 205806 + ... + 206034.

It is an arithmetic number, because the mean of its divisors is an integer number (659295).

Almost surely, 2^47155680 is an apocalyptic number.

47155680 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 47155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94938480).

47155680 is an abundant number, since it is smaller than the sum of its proper divisors (142721280).

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

47155680 is a wasteful number, since it uses less digits than its factorization.

47155680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 47155680 is about 6866.9993446920. Note that the first 3 decimals coincide. The cubic root of 47155680 is about 361.2806242322.

The spelling of 47155680 in words is "forty-seven million, one hundred fifty-five thousand, six hundred eighty".