48168640 has 56 divisors (see below), whose sum is σ = 123535440. Its totient is φ = 17783808.

The previous prime is 48168611. The next prime is 48168649. The reversal of 48168640 is 4686184.

It is a self number, because there is not a number n which added to its sum of digits gives 48168640.

It is not an unprimeable number, because it can be changed into a prime (48168649) 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, 1630 + ... + 9949.

It is an arithmetic number, because the mean of its divisors is an integer number (2205990).

Almost surely, 2^48168640 is an apocalyptic number.

48168640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48168640 is an abundant number, since it is smaller than the sum of its proper divisors (75366800).

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

48168640 is a wasteful number, since it uses less digits than its factorization.

48168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11609 (or 11599 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 48168640 is about 6940.3631028931. The cubic root of 48168640 is about 363.8492311237.

It can be divided in two parts, 4816 and 8640, that added together give a square (13456 = 116²).

The spelling of 48168640 in words is "forty-eight million, one hundred sixty-eight thousand, six hundred forty".