47803680 has 144 divisors (see below), whose sum is σ = 165405240. Its totient is φ = 12570624.

The previous prime is 47803673. The next prime is 47803681. The reversal of 47803680 is 8630874.

It can be written as a sum of positive squares in 4 ways, for example, as 32216976 + 15586704 = 5676^2 + 3948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47803681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127974 + ... + 128346.

Almost surely, 2^47803680 is an apocalyptic number.

47803680 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 47803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82702620).

47803680 is an abundant number, since it is smaller than the sum of its proper divisors (117601560).

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

47803680 is a wasteful number, since it uses less digits than its factorization.

47803680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

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

The square root of 47803680 is about 6914.0205380083. The cubic root of 47803680 is about 362.9279733241.

The spelling of 47803680 in words is "forty-seven million, eight hundred three thousand, six hundred eighty".