248216640 has 224 divisors, whose sum is σ = 922690560. Its totient is φ = 55351296.

The previous prime is 248216587. The next prime is 248216641. The reversal of 248216640 is 46612842.

248216640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×248216640² = 123223000745779200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248216641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288531 + ... + 289389.

Almost surely, 2^248216640 is an apocalyptic number.

248216640 is a gapful number since it is divisible by the number (20) 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 248216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461345280).

248216640 is an abundant number, since it is smaller than the sum of its proper divisors (674473920).

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

248216640 is a wasteful number, since it uses less digits than its factorization.

248216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 248216640 is about 15754.8925734199. The cubic root of 248216640 is about 628.4590204343.

The spelling of 248216640 in words is "two hundred forty-eight million, two hundred sixteen thousand, six hundred forty".