248903616 has 56 divisors (see below), whose sum is σ = 709222864. Its totient is φ = 76584960.

The previous prime is 248903609. The next prime is 248903639. The reversal of 248903616 is 616309842.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47365 + ... + 52356.

It is an arithmetic number, because the mean of its divisors is an integer number (12664694).

Almost surely, 2^248903616 is an apocalyptic number.

248903616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

248903616 is an abundant number, since it is smaller than the sum of its proper divisors (460319248).

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

248903616 is a wasteful number, since it uses less digits than its factorization.

248903616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99749 (or 99739 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 248903616 is about 15776.6794985510. The cubic root of 248903616 is about 629.0382705838.

The spelling of 248903616 in words is "two hundred forty-eight million, nine hundred three thousand, six hundred sixteen".