47785920 has 224 divisors, whose sum is σ = 187074048. Its totient is φ = 10063872.

The previous prime is 47785919. The next prime is 47785961. The reversal of 47785920 is 2958774.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87087 + ... + 87633.

It is an arithmetic number, because the mean of its divisors is an integer number (835152).

Almost surely, 2^47785920 is an apocalyptic number.

47785920 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 47785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93537024).

47785920 is an abundant number, since it is smaller than the sum of its proper divisors (139288128).

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

47785920 is a wasteful number, since it uses less digits than its factorization.

47785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 47785920 is about 6912.7360719183. The cubic root of 47785920 is about 362.8830228154.

The spelling of 47785920 in words is "forty-seven million, seven hundred eighty-five thousand, nine hundred twenty".