993877248 has 144 divisors (see below), whose sum is σ = 3255814016. Its totient is φ = 262103040.

The previous prime is 993877237. The next prime is 993877249. The reversal of 993877248 is 842778399.

993877248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993877249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62778 + ... + 76998.

Almost surely, 2^993877248 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 993877248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627907008).

993877248 is an abundant number, since it is smaller than the sum of its proper divisors (2261936768).

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

993877248 is a wasteful number, since it uses less digits than its factorization.

993877248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14260 (or 14246 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The square root of 993877248 is about 31525.8187522545. The cubic root of 993877248 is about 997.9549030965.

The spelling of 993877248 in words is "nine hundred ninety-three million, eight hundred seventy-seven thousand, two hundred forty-eight".