47827680 has 96 divisors (see below), whose sum is σ = 154786464. Its totient is φ = 12404736.

The previous prime is 47827673. The next prime is 47827687. The reversal of 47827680 is 8672874.

47827680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47827673) and next prime (47827687).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47827687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16414 + ... + 19106.

It is an arithmetic number, because the mean of its divisors is an integer number (1612359).

Almost surely, 2^47827680 is an apocalyptic number.

47827680 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 47827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77393232).

47827680 is an abundant number, since it is smaller than the sum of its proper divisors (106958784).

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

47827680 is a wasteful number, since it uses less digits than its factorization.

47827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 47827680 is about 6915.7559239753. The cubic root of 47827680 is about 362.9886995700.

The spelling of 47827680 in words is "forty-seven million, eight hundred twenty-seven thousand, six hundred eighty".