48768516 has 144 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 14307840.

The previous prime is 48768491. The next prime is 48768523. The reversal of 48768516 is 61586784.

It is a happy number.

It is a congruent number.

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, 1037605 + ... + 1037651.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 2^48768516 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 48768516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

48768516 is an abundant number, since it is smaller than the sum of its proper divisors (90658044).

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

48768516 is a wasteful number, since it uses less digits than its factorization.

48768516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 48768516 is about 6983.4458543043. The cubic root of 48768516 is about 365.3534226111.

It can be divided in two parts, 48768 and 516, that added together give a square (49284 = 222²).

The spelling of 48768516 in words is "forty-eight million, seven hundred sixty-eight thousand, five hundred sixteen".