48166560 has 288 divisors, whose sum is σ = 184923648. Its totient is φ = 11335680.

The previous prime is 48166553. The next prime is 48166561. The reversal of 48166560 is 6566184.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (48166561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580279 + ... + 580361.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 2^48166560 is an apocalyptic number.

48166560 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 48166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

48166560 is an abundant number, since it is smaller than the sum of its proper divisors (136757088).

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

48166560 is a wasteful number, since it uses less digits than its factorization.

48166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48166560 is about 6940.2132532077. The cubic root of 48166560 is about 363.8439938483.

The spelling of 48166560 in words is "forty-eight million, one hundred sixty-six thousand, five hundred sixty".