47820864 has 336 divisors, whose sum is σ = 175125888. Its totient is φ = 11354112.

The previous prime is 47820863. The next prime is 47820869. The reversal of 47820864 is 46802874.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47820863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2079157 + ... + 2079179.

It is an arithmetic number, because the mean of its divisors is an integer number (521208).

Almost surely, 2^47820864 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 47820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87562944).

47820864 is an abundant number, since it is smaller than the sum of its proper divisors (127305024).

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

47820864 is a wasteful number, since it uses less digits than its factorization.

47820864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 47820864 is about 6915.2631186384. The cubic root of 47820864 is about 362.9714553820.

It can be divided in two parts, 47820 and 864, that added together give a palindrome (48684).

The spelling of 47820864 in words is "forty-seven million, eight hundred twenty thousand, eight hundred sixty-four".