1061289216 has 360 divisors, whose sum is σ = 3545636864. Its totient is φ = 313528320.

The previous prime is 1061289199. The next prime is 1061289233. The reversal of 1061289216 is 6129821601.

1061289216 is a `hidden beast` number, since 10 + 612 + 8 + 9 + 21 + 6 = 666.

1061289216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1061289199) and next prime (1061289233).

It is a super-2 number, since 2×1061289216² = 2252669599995789312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8356545 + ... + 8356671.

Almost surely, 2^1061289216 is an apocalyptic number.

1061289216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061289216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772818432).

1061289216 is an abundant number, since it is smaller than the sum of its proper divisors (2484347648).

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

1061289216 is a wasteful number, since it uses less digits than its factorization.

1061289216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1061289216 is about 32577.4341531067. The cubic root of 1061289216 is about 1020.0260200975.

The spelling of 1061289216 in words is "one billion, sixty-one million, two hundred eighty-nine thousand, two hundred sixteen".