1016035416 has 192 divisors, whose sum is σ = 3207859200. Its totient is φ = 287481600.

The previous prime is 1016035381. The next prime is 1016035439. The reversal of 1016035416 is 6145306101.

1016035416 is a `hidden beast` number, since 1 + 0 + 1 + 603 + 54 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1016035416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711295 + ... + 712721.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^1016035416 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 1016035416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

1016035416 is an abundant number, since it is smaller than the sum of its proper divisors (2191823784).

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

1016035416 is a wasteful number, since it uses less digits than its factorization.

1016035416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1016035416 is about 31875.3104455470. The cubic root of 1016035416 is about 1005.3168199922.

The spelling of 1016035416 in words is "one billion, sixteen million, thirty-five thousand, four hundred sixteen".