47966688 has 288 divisors, whose sum is σ = 179262720. Its totient is φ = 12337920.

The previous prime is 47966669. The next prime is 47966693. The reversal of 47966688 is 88666974.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3483648) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465645 + ... + 465747.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^47966688 is an apocalyptic number.

47966688 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 47966688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

47966688 is an abundant number, since it is smaller than the sum of its proper divisors (131296032).

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

47966688 is a wasteful number, since it uses less digits than its factorization.

47966688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 47966688 is about 6925.7987265008. The cubic root of 47966688 is about 363.3400269975.

The spelling of 47966688 in words is "forty-seven million, nine hundred sixty-six thousand, six hundred eighty-eight".