247800960 has 192 divisors, whose sum is σ = 933716160. Its totient is φ = 60057600.

The previous prime is 247800947. The next prime is 247800961. The reversal of 247800960 is 69008742.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×247800960² = 122810631553843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247800961) 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, 61405 + ... + 65315.

It is an arithmetic number, because the mean of its divisors is an integer number (4863105).

Almost surely, 2^247800960 is an apocalyptic number.

247800960 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 247800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466858080).

247800960 is an abundant number, since it is smaller than the sum of its proper divisors (685915200).

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

247800960 is a wasteful number, since it uses less digits than its factorization.

247800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 247800960 is about 15741.6949532126. The cubic root of 247800960 is about 628.1080047381.

The spelling of 247800960 in words is "two hundred forty-seven million, eight hundred thousand, nine hundred sixty".