47367936 has 288 divisors, whose sum is σ = 176601600. Its totient is φ = 12165120.

The previous prime is 47367923. The next prime is 47367953. The reversal of 47367936 is 63976374.

47367936 = 96³ + 97³ + ... + 128³.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (571536) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 47367891 and 47367900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532180 + ... + 532268.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 2^47367936 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 47367936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

47367936 is an abundant number, since it is smaller than the sum of its proper divisors (129233664).

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

47367936 is a wasteful number, since it uses less digits than its factorization.

47367936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 47367936 is about 6882.4367777699. The cubic root of 47367936 is about 361.8218754735.

The spelling of 47367936 in words is "forty-seven million, three hundred sixty-seven thousand, nine hundred thirty-six".