47536320 has 168 divisors, whose sum is σ = 163988496. Its totient is φ = 11661312.

The previous prime is 47536319. The next prime is 47536337. The reversal of 47536320 is 2363574.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162094 + ... + 162386.

It is an arithmetic number, because the mean of its divisors is an integer number (976122).

Almost surely, 2^47536320 is an apocalyptic number.

47536320 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 47536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81994248).

47536320 is an abundant number, since it is smaller than the sum of its proper divisors (116452176).

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

47536320 is a wasteful number, since it uses less digits than its factorization.

47536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 47536320 is about 6894.6588022904. The cubic root of 47536320 is about 362.2501044246.

Adding to 47536320 its reverse (2363574), we get a palindrome (49899894).

The spelling of 47536320 in words is "forty-seven million, five hundred thirty-six thousand, three hundred twenty".