47785584 has 120 divisors (see below), whose sum is σ = 156739968. Its totient is φ = 12405120.

The previous prime is 47785583. The next prime is 47785603. The reversal of 47785584 is 48558774.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47785583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24949 + ... + 26795.

Almost surely, 2^47785584 is an apocalyptic number.

47785584 is a gapful number since it is divisible by the number (44) 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 47785584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984).

47785584 is an abundant number, since it is smaller than the sum of its proper divisors (108954384).

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

47785584 is a wasteful number, since it uses less digits than its factorization.

47785584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1870 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 47785584 is about 6912.7117689081. The cubic root of 47785584 is about 362.8821722930.

It can be divided in two parts, 47 and 785584, that added together give a triangular number (785631 = T₁₂₅₃).

The spelling of 47785584 in words is "forty-seven million, seven hundred eighty-five thousand, five hundred eighty-four".