47035968 has 112 divisors (see below), whose sum is σ = 144353280. Its totient is φ = 13238784.

The previous prime is 47035907. The next prime is 47035969. The reversal of 47035968 is 86953074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (47035969) 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, 105955 + ... + 106397.

Almost surely, 2^47035968 is an apocalyptic number.

47035968 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 47035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72176640).

47035968 is an abundant number, since it is smaller than the sum of its proper divisors (97317312).

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

47035968 is a wasteful number, since it uses less digits than its factorization.

47035968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 47035968 is about 6858.2773347248. The cubic root of 47035968 is about 360.9746428784.

The spelling of 47035968 in words is "forty-seven million, thirty-five thousand, nine hundred sixty-eight".