48065760 has 144 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 12364800.

The previous prime is 48065737. The next prime is 48065767. The reversal of 48065760 is 6756084.

It is a happy number.

48065760 is a `hidden beast` number, since 4 + 80 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×48065760³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48065767) 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, 41185 + ... + 42335.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^48065760 is an apocalyptic number.

48065760 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 48065760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

48065760 is an abundant number, since it is smaller than the sum of its proper divisors (121762080).

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

48065760 is a wasteful number, since it uses less digits than its factorization.

48065760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 48065760 is about 6932.9474251576. The cubic root of 48065760 is about 363.5900065148.

The spelling of 48065760 in words is "forty-eight million, sixty-five thousand, seven hundred sixty".