47111680 has 160 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 14622720.

The previous prime is 47111657. The next prime is 47111683. The reversal of 47111680 is 8611174.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47111683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197001 + ... + 197239.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 2^47111680 is an apocalyptic number.

47111680 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 47111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

47111680 is an abundant number, since it is smaller than the sum of its proper divisors (94307840).

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

47111680 is a wasteful number, since it uses less digits than its factorization.

47111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 47111680 is about 6863.7948687297. The cubic root of 47111680 is about 361.1682214123.

The spelling of 47111680 in words is "forty-seven million, one hundred eleven thousand, six hundred eighty".