47206368 has 96 divisors (see below), whose sum is σ = 150232320. Its totient is φ = 14302080.

The previous prime is 47206363. The next prime is 47206421. The reversal of 47206368 is 86360274.

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

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 (47206361) 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, 7021 + ... + 11987.

It is an arithmetic number, because the mean of its divisors is an integer number (1564920).

Almost surely, 2^47206368 is an apocalyptic number.

47206368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47206368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75116160).

47206368 is an abundant number, since it is smaller than the sum of its proper divisors (103025952).

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

47206368 is a wasteful number, since it uses less digits than its factorization.

47206368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 47206368 is about 6870.6890484143. The cubic root of 47206368 is about 361.4100256443.

It can be divided in two parts, 47206 and 368, that added together give a palindrome (47574).

The spelling of 47206368 in words is "forty-seven million, two hundred six thousand, three hundred sixty-eight".