47198720 has 80 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 18591744.

The previous prime is 47198719. The next prime is 47198759. The reversal of 47198720 is 2789174.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263591 + ... + 263769.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^47198720 is an apocalyptic number.

47198720 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 47198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

47198720 is an abundant number, since it is smaller than the sum of its proper divisors (67704640).

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

47198720 is a wasteful number, since it uses less digits than its factorization.

47198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 47198720 is about 6870.1324586939. The cubic root of 47198720 is about 361.3905069983.

The spelling of 47198720 in words is "forty-seven million, one hundred ninety-eight thousand, seven hundred twenty".