48601120 has 48 divisors (see below), whose sum is σ = 116144280. Its totient is φ = 19216384.

The previous prime is 48601117. The next prime is 48601121. The reversal of 48601120 is 2110684.

It can be written as a sum of positive squares in 4 ways, for example, as 42667024 + 5934096 = 6532^2 + 2436^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48601091 and 48601100.

It is not an unprimeable number, because it can be changed into a prime (48601121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12534 + ... + 15946.

Almost surely, 2^48601120 is an apocalyptic number.

48601120 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 48601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58072140).

48601120 is an abundant number, since it is smaller than the sum of its proper divisors (67543160).

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

48601120 is a wasteful number, since it uses less digits than its factorization.

48601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 48601120 is about 6971.4503512540. The cubic root of 48601120 is about 364.9349230323.

The spelling of 48601120 in words is "forty-eight million, six hundred one thousand, one hundred twenty".