47604760 has 128 divisors (see below), whose sum is σ = 132347520. Its totient is φ = 15040512.

The previous prime is 47604727. The next prime is 47604761. The reversal of 47604760 is 6740674.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47604761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347412 + ... + 347548.

It is an arithmetic number, because the mean of its divisors is an integer number (1033965).

Almost surely, 2^47604760 is an apocalyptic number.

47604760 is a gapful number since it is divisible by the number (40) 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 47604760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66173760).

47604760 is an abundant number, since it is smaller than the sum of its proper divisors (84742760).

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

47604760 is a wasteful number, since it uses less digits than its factorization.

47604760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 47604760 is about 6899.6202794067. The cubic root of 47604760 is about 362.4238698629.

The spelling of 47604760 in words is "forty-seven million, six hundred four thousand, seven hundred sixty".