1027008216 has 384 divisors, whose sum is σ = 3459456000. Its totient is φ = 271724544.

The previous prime is 1027008211. The next prime is 1027008217. The reversal of 1027008216 is 6128007201.

It is a self number, because there is not a number n which added to its sum of digits gives 1027008216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027008211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13000065 + ... + 13000143.

It is an arithmetic number, because the mean of its divisors is an integer number (9009000).

Almost surely, 2^1027008216 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 1027008216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729728000).

1027008216 is an abundant number, since it is smaller than the sum of its proper divisors (2432447784).

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

1027008216 is a wasteful number, since it uses less digits than its factorization.

1027008216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1027008216 is about 32046.9689050306. The cubic root of 1027008216 is about 1008.9228840008.

The spelling of 1027008216 in words is "one billion, twenty-seven million, eight thousand, two hundred sixteen".