1061071600 has 60 divisors (see below), whose sum is σ = 2552838840. Its totient is φ = 423827200.

The previous prime is 1061071579. The next prime is 1061071603. The reversal of 1061071600 is 61701601.

It is a super-2 number, since 2×1061071600² = 2251745880653120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061071603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374991 + ... + 377809.

It is an arithmetic number, because the mean of its divisors is an integer number (42547314).

Almost surely, 2^1061071600 is an apocalyptic number.

1061071600 is a gapful number since it is divisible by the number (10) 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 1061071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276419420).

1061071600 is an abundant number, since it is smaller than the sum of its proper divisors (1491767240).

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

1061071600 is a wasteful number, since it uses less digits than its factorization.

1061071600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1061071600 is about 32574.0940012151. The cubic root of 1061071600 is about 1019.9562969869.

The spelling of 1061071600 in words is "one billion, sixty-one million, seventy-one thousand, six hundred".