47136864 has 96 divisors (see below), whose sum is σ = 130830336. Its totient is φ = 14837760.

The previous prime is 47136863. The next prime is 47136877. The reversal of 47136864 is 46863174.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47136863) 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, 139704 + ... + 140040.

It is an arithmetic number, because the mean of its divisors is an integer number (1362816).

Almost surely, 2^47136864 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 47136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65415168).

47136864 is an abundant number, since it is smaller than the sum of its proper divisors (83693472).

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

47136864 is a wasteful number, since it uses less digits than its factorization.

47136864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 47136864 is about 6865.6291772859. The cubic root of 47136864 is about 361.2325652597.

The spelling of 47136864 in words is "forty-seven million, one hundred thirty-six thousand, eight hundred sixty-four".