1027736676 has 108 divisors (see below), whose sum is σ = 2831372544. Its totient is φ = 313956000.

The previous prime is 1027736629. The next prime is 1027736687. The reversal of 1027736676 is 6766377201.

1027736676 is a `hidden beast` number, since 10 + 277 + 366 + 7 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 401601 + ... + 404151.

Almost surely, 2^1027736676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027736676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415686272).

1027736676 is an abundant number, since it is smaller than the sum of its proper divisors (1803635868).

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

1027736676 is a wasteful number, since it uses less digits than its factorization.

1027736676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 1027736676 is about 32058.3323958062. The cubic root of 1027736676 is about 1009.1613716297.

The spelling of 1027736676 in words is "one billion, twenty-seven million, seven hundred thirty-six thousand, six hundred seventy-six".