47960 has 32 divisors (see below), whose sum is σ = 118800. Its totient is φ = 17280.

The previous prime is 47951. The next prime is 47963. The reversal of 47960 is 6974.

47960 = T₁₃₆ + T₁₃₇ + ... + T₁₄₀.

It is a Cunningham number, because it is equal to 219²-1.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386 + ... + 494.

2⁴⁷⁹⁶⁰ is an apocalyptic number.

47960 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 47960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59400).

47960 is an abundant number, since it is smaller than the sum of its proper divisors (70840).

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

47960 is a wasteful number, since it uses less digits than its factorization.

47960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 47960 is about 218.9977168831. The cubic root of 47960 is about 36.3323139367.

The spelling of 47960 in words is "forty-seven thousand, nine hundred sixty".