1007410680 has 48 divisors (see below), whose sum is σ = 3274085880. Its totient is φ = 268642752.

The previous prime is 1007410673. The next prime is 1007410681. The reversal of 1007410680 is 860147001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007410681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398822 + ... + 1399541.

Almost surely, 2^1007410680 is an apocalyptic number.

1007410680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007410680 is an abundant number, since it is smaller than the sum of its proper divisors (2266675200).

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

1007410680 is a wasteful number, since it uses less digits than its factorization.

1007410680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798380 (or 2798373 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1007410680 is about 31739.7334582381. The cubic root of 1007410680 is about 1002.4641496457.

Adding to 1007410680 its reverse (860147001), we get a palindrome (1867557681).

The spelling of 1007410680 in words is "one billion, seven million, four hundred ten thousand, six hundred eighty".