47085264 has 60 divisors (see below), whose sum is σ = 133473600. Its totient is φ = 15492672.

The previous prime is 47085263. The next prime is 47085271. The reversal of 47085264 is 46258074.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47085263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9307 + ... + 13445.

It is an arithmetic number, because the mean of its divisors is an integer number (2224560).

Almost surely, 2^47085264 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 47085264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66736800).

47085264 is an abundant number, since it is smaller than the sum of its proper divisors (86388336).

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

47085264 is a wasteful number, since it uses less digits than its factorization.

47085264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 47085264 is about 6861.8702989783. The cubic root of 47085264 is about 361.1007052219.

The spelling of 47085264 in words is "forty-seven million, eighty-five thousand, two hundred sixty-four".