48136320 has 192 divisors, whose sum is σ = 170178840. Its totient is φ = 12533760.

The previous prime is 48136313. The next prime is 48136321. The reversal of 48136320 is 2363184.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 21013056 = 5208^2 + 4584^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (48136321) 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, 351292 + ... + 351428.

Almost surely, 2^48136320 is an apocalyptic number.

48136320 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 48136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85089420).

48136320 is an abundant number, since it is smaller than the sum of its proper divisors (122042520).

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

48136320 is a wasteful number, since it uses less digits than its factorization.

48136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 48136320 is about 6938.0343037492. The cubic root of 48136320 is about 363.7678348856.

The spelling of 48136320 in words is "forty-eight million, one hundred thirty-six thousand, three hundred twenty".