1247172768 has 384 divisors, whose sum is σ = 4191264000. Its totient is φ = 358318080.

The previous prime is 1247172761. The next prime is 1247172781. The reversal of 1247172768 is 8672717421.

It is not an unprimeable number, because it can be changed into a prime (1247172761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11441898 + ... + 11442006.

It is an arithmetic number, because the mean of its divisors is an integer number (10914750).

Almost surely, 2^1247172768 is an apocalyptic number.

1247172768 is a gapful number since it is divisible by the number (18) 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 1247172768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095632000).

1247172768 is an abundant number, since it is smaller than the sum of its proper divisors (2944091232).

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

1247172768 is a wasteful number, since it uses less digits than its factorization.

1247172768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 1247172768 is about 35315.3333270408. Note that the first 4 decimals coincide. The cubic root of 1247172768 is about 1076.4045870532.

The spelling of 1247172768 in words is "one billion, two hundred forty-seven million, one hundred seventy-two thousand, seven hundred sixty-eight".