47264 has 24 divisors (see below), whose sum is σ = 106848. Its totient is φ = 20160.

The previous prime is 47251. The next prime is 47269. The reversal of 47264 is 46274.

47264 is nontrivially palindromic in base 15.

It is not an unprimeable number, because it can be changed into a prime (47269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (4452).

2⁴⁷²⁶⁴ 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 47264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53424).

47264 is an abundant number, since it is smaller than the sum of its proper divisors (59584).

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

47264 is a wasteful number, since it uses less digits than its factorization.

47264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 47264 is about 217.4028518672. The cubic root of 47264 is about 36.1557041912.

Subtracting from 47264 its reverse (46274), we obtain a triangular number (990 = T₄₄).

The spelling of 47264 in words is "forty-seven thousand, two hundred sixty-four".