47136768 has 120 divisors (see below), whose sum is σ = 144699072. Its totient is φ = 13369344.

The previous prime is 47136751. The next prime is 47136787. The reversal of 47136768 is 86763174.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343996 + ... + 344132.

Almost surely, 2^47136768 is an apocalyptic number.

47136768 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 47136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72349536).

47136768 is an abundant number, since it is smaller than the sum of its proper divisors (97562304).

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

47136768 is an equidigital number, since it uses as much as digits as its factorization.

47136768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 47136768 is about 6865.6221859348. The cubic root of 47136768 is about 361.2323200281.

The spelling of 47136768 in words is "forty-seven million, one hundred thirty-six thousand, seven hundred sixty-eight".