1007564116 has 24 divisors (see below), whose sum is σ = 1905007104. Its totient is φ = 463526880.

The previous prime is 1007564111. The next prime is 1007564119. The reversal of 1007564116 is 6114657001.

It is a super-2 number, since 2×1007564116² = 2030370895701722912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007564111) 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, 14980 + ... + 47323.

It is an arithmetic number, because the mean of its divisors is an integer number (79375296).

Almost surely, 2^1007564116 is an apocalyptic number.

It is an amenable number.

1007564116 is a deficient number, since it is larger than the sum of its proper divisors (897442988).

1007564116 is a wasteful number, since it uses less digits than its factorization.

1007564116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62631 (or 62629 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 1007564116 is about 31742.1504627522. The cubic root of 1007564116 is about 1002.5150412645.

The spelling of 1007564116 in words is "one billion, seven million, five hundred sixty-four thousand, one hundred sixteen".