47968000 has 72 divisors (see below), whose sum is σ = 119574000. Its totient is φ = 19174400.

The previous prime is 47967977. The next prime is 47968009. The reversal of 47968000 is 86974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47968009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31251 + ... + 32749.

It is an arithmetic number, because the mean of its divisors is an integer number (1660750).

Almost surely, 2^47968000 is an apocalyptic number.

47968000 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 47968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59787000).

47968000 is an abundant number, since it is smaller than the sum of its proper divisors (71606000).

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

47968000 is an equidigital number, since it uses as much as digits as its factorization.

47968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 47968000 is about 6925.8934441702. The cubic root of 47968000 is about 363.3433396977.

The spelling of 47968000 in words is "forty-seven million, nine hundred sixty-eight thousand".