248667720 has 256 divisors, whose sum is σ = 908513280. Its totient is φ = 53222400.

The previous prime is 248667707. The next prime is 248667733. The reversal of 248667720 is 27766842.

248667720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248667707) and next prime (248667733).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1178415 + ... + 1178625.

It is an arithmetic number, because the mean of its divisors is an integer number (3548880).

Almost surely, 2^248667720 is an apocalyptic number.

248667720 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 248667720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454256640).

248667720 is an abundant number, since it is smaller than the sum of its proper divisors (659845560).

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

248667720 is a wasteful number, since it uses less digits than its factorization.

248667720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 248667720 is about 15769.2016284909. The cubic root of 248667720 is about 628.8394861218.

The spelling of 248667720 in words is "two hundred forty-eight million, six hundred sixty-seven thousand, seven hundred twenty".