47066760 has 192 divisors, whose sum is σ = 168058800. Its totient is φ = 11354112.

The previous prime is 47066759. The next prime is 47066783. The reversal of 47066760 is 6766074.

It can be written as a sum of positive squares in 8 ways, for example, as 34596 + 47032164 = 186^2 + 6858^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416464 + ... + 416576.

Almost surely, 2^47066760 is an apocalyptic number.

47066760 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 47066760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84029400).

47066760 is an abundant number, since it is smaller than the sum of its proper divisors (120992040).

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

47066760 is a wasteful number, since it uses less digits than its factorization.

47066760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 47066760 is about 6860.5218460406. The cubic root of 47066760 is about 361.0533961323.

The spelling of 47066760 in words is "forty-seven million, sixty-six thousand, seven hundred sixty".