47260864 has 112 divisors (see below), whose sum is σ = 114702336. Its totient is φ = 18892800.

The previous prime is 47260861. The next prime is 47260907. The reversal of 47260864 is 46806274.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47260861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569367 + ... + 569449.

It is an arithmetic number, because the mean of its divisors is an integer number (1024128).

Almost surely, 2^47260864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57351168).

47260864 is an abundant number, since it is smaller than the sum of its proper divisors (67441472).

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

47260864 is a wasteful number, since it uses less digits than its factorization.

47260864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 47260864 is about 6874.6537367347. The cubic root of 47260864 is about 361.5490452126.

The spelling of 47260864 in words is "forty-seven million, two hundred sixty thousand, eight hundred sixty-four".