47783160 has 96 divisors (see below), whose sum is σ = 156152880. Its totient is φ = 12672000.

The previous prime is 47783159. The next prime is 47783171. The reversal of 47783160 is 6138774.

47783160 = 733² + 734² + ... + 812².

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118960 + ... + 119360.

Almost surely, 2^47783160 is an apocalyptic number.

47783160 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 47783160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78076440).

47783160 is an abundant number, since it is smaller than the sum of its proper divisors (108369720).

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

47783160 is a wasteful number, since it uses less digits than its factorization.

47783160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 47783160 is about 6912.5364375170. The cubic root of 47783160 is about 362.8760362635.

The spelling of 47783160 in words is "forty-seven million, seven hundred eighty-three thousand, one hundred sixty".