47261760 has 224 divisors, whose sum is σ = 185025792. Its totient is φ = 9953280.

The previous prime is 47261749. The next prime is 47261761. The reversal of 47261760 is 6716274.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (47261761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87090 + ... + 87630.

It is an arithmetic number, because the mean of its divisors is an integer number (826008).

Almost surely, 2^47261760 is an apocalyptic number.

47261760 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 47261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92512896).

47261760 is an abundant number, since it is smaller than the sum of its proper divisors (137764032).

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

47261760 is a wasteful number, since it uses less digits than its factorization.

47261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 47261760 is about 6874.7189033443. The cubic root of 47261760 is about 361.5513300198.

The spelling of 47261760 in words is "forty-seven million, two hundred sixty-one thousand, seven hundred sixty".