48160896 has 256 divisors, whose sum is σ = 164505600. Its totient is φ = 12165120.

The previous prime is 48160883. The next prime is 48160897. The reversal of 48160896 is 69806184.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48160897) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1174636 + ... + 1174676.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^48160896 is an apocalyptic number.

48160896 is a gapful number since it is divisible by the number (46) 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 48160896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

48160896 is an abundant number, since it is smaller than the sum of its proper divisors (116344704).

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

48160896 is a wasteful number, since it uses less digits than its factorization.

48160896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 48160896 is about 6939.8051845855. The cubic root of 48160896 is about 363.8297315803.

The spelling of 48160896 in words is "forty-eight million, one hundred sixty thousand, eight hundred ninety-six".