1027506966 has 96 divisors (see below), whose sum is σ = 2282152320. Its totient is φ = 307480320.

The previous prime is 1027506941. The next prime is 1027506967. The reversal of 1027506966 is 6696057201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027506967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9092926 + ... + 9093038.

It is an arithmetic number, because the mean of its divisors is an integer number (23772420).

Almost surely, 2^1027506966 is an apocalyptic number.

1027506966 is an abundant number, since it is smaller than the sum of its proper divisors (1254645354).

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

1027506966 is a wasteful number, since it uses less digits than its factorization.

1027506966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1027506966 is about 32054.7495076783. The cubic root of 1027506966 is about 1009.0861799529.

The spelling of 1027506966 in words is "one billion, twenty-seven million, five hundred six thousand, nine hundred sixty-six".