48101760 has 192 divisors, whose sum is σ = 189989280. Its totient is φ = 10985472.

The previous prime is 48101747. The next prime is 48101777. The reversal of 48101760 is 6710184.

It is a happy number.

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

It is a super-3 number, since 3×48101760³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39724 + ... + 40916.

Almost surely, 2^48101760 is an apocalyptic number.

48101760 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 48101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94994640).

48101760 is an abundant number, since it is smaller than the sum of its proper divisors (141887520).

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

48101760 is a wasteful number, since it uses less digits than its factorization.

48101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 48101760 is about 6935.5432375554. The cubic root of 48101760 is about 363.6807570044.

The spelling of 48101760 in words is "forty-eight million, one hundred one thousand, seven hundred sixty".