47864016 has 60 divisors (see below), whose sum is σ = 136173700. Its totient is φ = 15690240.

The previous prime is 47863999. The next prime is 47864039. The reversal of 47864016 is 61046874.

47864016 is a `hidden beast` number, since 4 + 7 + 8 + 640 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3027600 + 44836416 = 1740^2 + 6696^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6060 + ... + 11508.

Almost surely, 2^47864016 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 47864016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68086850).

47864016 is an abundant number, since it is smaller than the sum of its proper divisors (88309684).

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

47864016 is a wasteful number, since it uses less digits than its factorization.

47864016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47864016 is about 6918.3824699130. The cubic root of 47864016 is about 363.0806004570.

The spelling of 47864016 in words is "forty-seven million, eight hundred sixty-four thousand, sixteen".