47906820 has 144 divisors (see below), whose sum is σ = 159606720. Its totient is φ = 11559168.

The previous prime is 47906797. The next prime is 47906839. The reversal of 47906820 is 2860974.

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, 137887 + ... + 138233.

It is an arithmetic number, because the mean of its divisors is an integer number (1108380).

Almost surely, 2^47906820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47906820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79803360).

47906820 is an abundant number, since it is smaller than the sum of its proper divisors (111699900).

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

47906820 is a wasteful number, since it uses less digits than its factorization.

47906820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 47906820 is about 6921.4752762688. The cubic root of 47906820 is about 363.1888005402.

The spelling of 47906820 in words is "forty-seven million, nine hundred six thousand, eight hundred twenty".