1077006216 has 256 divisors, whose sum is σ = 3344302080. Its totient is φ = 284544000.

The previous prime is 1077006209. The next prime is 1077006221. The reversal of 1077006216 is 6126007701.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5638681 + ... + 5638871.

It is an arithmetic number, because the mean of its divisors is an integer number (13063680).

Almost surely, 2^1077006216 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 1077006216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672151040).

1077006216 is an abundant number, since it is smaller than the sum of its proper divisors (2267295864).

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

1077006216 is a wasteful number, since it uses less digits than its factorization.

1077006216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 1077006216 is about 32817.7728677618. The cubic root of 1077006216 is about 1025.0366724139.

The spelling of 1077006216 in words is "one billion, seventy-seven million, six thousand, two hundred sixteen".