1061978112 has 192 divisors, whose sum is σ = 3315808860. Its totient is φ = 325582848.

The previous prime is 1061978063. The next prime is 1061978123. The reversal of 1061978112 is 2118791601.

It can be written as a sum of positive squares in 2 ways, for example, as 920272896 + 141705216 = 30336^2 + 11904^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1061978112³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3833718 + ... + 3833994.

Almost surely, 2^1061978112 is an apocalyptic number.

1061978112 is a gapful number since it is divisible by the number (12) 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 1061978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657904430).

1061978112 is an abundant number, since it is smaller than the sum of its proper divisors (2253830748).

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

1061978112 is an equidigital number, since it uses as much as digits as its factorization.

1061978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The square root of 1061978112 is about 32588.0056462497. The cubic root of 1061978112 is about 1020.2466762100.

The spelling of 1061978112 in words is "one billion, sixty-one million, nine hundred seventy-eight thousand, one hundred twelve".