48709968 has 80 divisors (see below), whose sum is σ = 131616576. Its totient is φ = 15508480.

The previous prime is 48709963. The next prime is 48709979. The reversal of 48709968 is 86990784.

It is a happy number.

It is a super-2 number, since 2×48709968² = 4745321965122048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48709968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48709963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104071 + ... + 104537.

Almost surely, 2^48709968 is an apocalyptic number.

48709968 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 48709968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288).

48709968 is an abundant number, since it is smaller than the sum of its proper divisors (82906608).

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

48709968 is a wasteful number, since it uses less digits than its factorization.

48709968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 48709968 is about 6979.2526820570. The cubic root of 48709968 is about 365.2071583153.

The spelling of 48709968 in words is "forty-eight million, seven hundred nine thousand, nine hundred sixty-eight".