247089920 has 288 divisors, whose sum is σ = 777047040. Its totient is φ = 72990720.

The previous prime is 247089919. The next prime is 247089929. The reversal of 247089920 is 29980742.

It is a super-2 number, since 2×247089920² = 122106857131212800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247089929) 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, 2266826 + ... + 2266934.

It is an arithmetic number, because the mean of its divisors is an integer number (2698080).

Almost surely, 2^247089920 is an apocalyptic number.

247089920 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 247089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388523520).

247089920 is an abundant number, since it is smaller than the sum of its proper divisors (529957120).

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

247089920 is a wasteful number, since it uses less digits than its factorization.

247089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 247089920 is about 15719.0941214817. The cubic root of 247089920 is about 627.5066649028.

The spelling of 247089920 in words is "two hundred forty-seven million, eighty-nine thousand, nine hundred twenty".