1007040667 has 8 divisors (see below), whose sum is σ = 1011663360. Its totient is φ = 1002429120.

The previous prime is 1007040637. The next prime is 1007040701. The reversal of 1007040667 is 7660407001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007040667 - 2⁷ = 1007040539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007040637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215617 + ... + 220237.

It is an arithmetic number, because the mean of its divisors is an integer number (126457920).

Almost surely, 2^1007040667 is an apocalyptic number.

1007040667 is a deficient number, since it is larger than the sum of its proper divisors (4622693).

1007040667 is an equidigital number, since it uses as much as digits as its factorization.

1007040667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5573.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 1007040667 is about 31733.9040617444. The cubic root of 1007040667 is about 1002.3414025554.

Adding to 1007040667 its reverse (7660407001), we get a palindrome (8667447668).

The spelling of 1007040667 in words is "one billion, seven million, forty thousand, six hundred sixty-seven".