48996864 has 240 divisors, whose sum is σ = 170227200. Its totient is φ = 13547520.

The previous prime is 48996851. The next prime is 48996869. The reversal of 48996864 is 46869984.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48996864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48996869) 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, 1580529 + ... + 1580559.

It is an arithmetic number, because the mean of its divisors is an integer number (709280).

Almost surely, 2^48996864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85113600).

48996864 is an abundant number, since it is smaller than the sum of its proper divisors (121230336).

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

48996864 is an equidigital number, since it uses as much as digits as its factorization.

48996864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 43 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 48996864 is about 6999.7759964159. The cubic root of 48996864 is about 365.9227643169.

The spelling of 48996864 in words is "forty-eight million, nine hundred ninety-six thousand, eight hundred sixty-four".