47836320 has 192 divisors, whose sum is σ = 179988480. Its totient is φ = 10441728.

The previous prime is 47836307. The next prime is 47836337. The reversal of 47836320 is 2363874.

47836320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47836320² = 4576627022284800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76971 + ... + 77589.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^47836320 is an apocalyptic number.

47836320 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 47836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

47836320 is an abundant number, since it is smaller than the sum of its proper divisors (132152160).

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

47836320 is a wasteful number, since it uses less digits than its factorization.

47836320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 47836320 is about 6916.3805563315. The cubic root of 47836320 is about 363.0105560454.

The spelling of 47836320 in words is "forty-seven million, eight hundred thirty-six thousand, three hundred twenty".