47661380 has 72 divisors (see below), whose sum is σ = 110678400. Its totient is φ = 17227392.

The previous prime is 47661379. The next prime is 47661389. The reversal of 47661380 is 8316674.

It is a self number, because there is not a number n which added to its sum of digits gives 47661380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47661389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199301 + ... + 199539.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 2^47661380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47661380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55339200).

47661380 is an abundant number, since it is smaller than the sum of its proper divisors (63017020).

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

47661380 is a wasteful number, since it uses less digits than its factorization.

47661380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 47661380 is about 6903.7221844451. The cubic root of 47661380 is about 362.5674991230.

The spelling of 47661380 in words is "forty-seven million, six hundred sixty-one thousand, three hundred eighty".