48164688 has 120 divisors (see below), whose sum is σ = 158427360. Its totient is φ = 13466880.

The previous prime is 48164657. The next prime is 48164693. The reversal of 48164688 is 88646184.

It is a nude number because it is divisible by every one of its digits.

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, 19423 + ... + 21761.

It is an arithmetic number, because the mean of its divisors is an integer number (1320228).

Almost surely, 2^48164688 is an apocalyptic number.

48164688 is a gapful number since it is divisible by the number (48) 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 48164688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213680).

48164688 is an abundant number, since it is smaller than the sum of its proper divisors (110262672).

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

48164688 is a wasteful number, since it uses less digits than its factorization.

48164688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2368 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 48164688 is about 6940.0783857245. The cubic root of 48164688 is about 363.8392801716.

The spelling of 48164688 in words is "forty-eight million, one hundred sixty-four thousand, six hundred eighty-eight".