1061146200 has 96 divisors (see below), whose sum is σ = 3462724800. Its totient is φ = 268076160.

The previous prime is 1061146187. The next prime is 1061146237. The reversal of 1061146200 is 26411601.

1061146200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1061146200² = 2252062515548880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35142 + ... + 57941.

It is an arithmetic number, because the mean of its divisors is an integer number (36070050).

Almost surely, 2^1061146200 is an apocalyptic number.

1061146200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061146200 is an abundant number, since it is smaller than the sum of its proper divisors (2401578600).

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

1061146200 is a wasteful number, since it uses less digits than its factorization.

1061146200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93121 (or 93112 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1061146200 is about 32575.2390628219. The cubic root of 1061146200 is about 1019.9801995387.

Adding to 1061146200 its reverse (26411601), we get a palindrome (1087557801).

The spelling of 1061146200 in words is "one billion, sixty-one million, one hundred forty-six thousand, two hundred".