1007680518 has 48 divisors (see below), whose sum is σ = 2374139040. Its totient is φ = 307037952.

The previous prime is 1007680511. The next prime is 1007680537. The reversal of 1007680518 is 8150867001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007680511) 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, 3198 + ... + 45006.

It is an arithmetic number, because the mean of its divisors is an integer number (49461230).

Almost surely, 2^1007680518 is an apocalyptic number.

1007680518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007680518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187069520).

1007680518 is an abundant number, since it is smaller than the sum of its proper divisors (1366458522).

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

1007680518 is a wasteful number, since it uses less digits than its factorization.

1007680518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41933 (or 41930 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1007680518 is about 31743.9839654697. The cubic root of 1007680518 is about 1002.5536460079.

The spelling of 1007680518 in words is "one billion, seven million, six hundred eighty thousand, five hundred eighteen".