47661888 has 112 divisors (see below), whose sum is σ = 135184896. Its totient is φ = 14784000.

The previous prime is 47661881. The next prime is 47661947. The reversal of 47661888 is 88816674.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47661881) 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 15 ways as a sum of consecutive naturals, for example, 189763 + ... + 190013.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008).

Almost surely, 2^47661888 is an apocalyptic number.

47661888 is a gapful number since it is divisible by the number (48) 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 47661888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67592448).

47661888 is an abundant number, since it is smaller than the sum of its proper divisors (87523008).

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

47661888 is a wasteful number, since it uses less digits than its factorization.

47661888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 47661888 is about 6903.7589760941. The cubic root of 47661888 is about 362.5687872633.

The spelling of 47661888 in words is "forty-seven million, six hundred sixty-one thousand, eight hundred eighty-eight".