47207680 has 72 divisors (see below), whose sum is σ = 121818312. Its totient is φ = 17424384.

The previous prime is 47207653. The next prime is 47207689. The reversal of 47207680 is 8670274.

It can be written as a sum of positive squares in 4 ways, for example, as 1401856 + 45805824 = 1184^2 + 6768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47207689) 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, 15222 + ... + 18058.

It is an arithmetic number, because the mean of its divisors is an integer number (1691921).

Almost surely, 2^47207680 is an apocalyptic number.

47207680 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 47207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60909156).

47207680 is an abundant number, since it is smaller than the sum of its proper divisors (74610632).

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

47207680 is a wasteful number, since it uses less digits than its factorization.

47207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 47207680 is about 6870.7845258020. The cubic root of 47207680 is about 361.4133738195.

The spelling of 47207680 in words is "forty-seven million, two hundred seven thousand, six hundred eighty".