1007668164 has 24 divisors (see below), whose sum is σ = 2352222880. Its totient is φ = 335746944.

The previous prime is 1007668163. The next prime is 1007668201. The reversal of 1007668164 is 4618667001.

It is a happy number.

It is a super-3 number, since 3×1007668164³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1007668163) 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, 13932 + ... + 47004.

Almost surely, 2^1007668164 is an apocalyptic number.

It is an amenable number.

1007668164 is an abundant number, since it is smaller than the sum of its proper divisors (1344554716).

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

1007668164 is a wasteful number, since it uses less digits than its factorization.

1007668164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35619 (or 35617 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1007668164 is about 31743.7893768214. The cubic root of 1007668164 is about 1002.5495489427.

The spelling of 1007668164 in words is "one billion, seven million, six hundred sixty-eight thousand, one hundred sixty-four".