1061665600 has 42 divisors (see below), whose sum is σ = 2612364854. Its totient is φ = 424665600.

The previous prime is 1061665573. The next prime is 1061665609. The reversal of 1061665600 is 65661601.

It can be written as a sum of positive squares in 3 ways, for example, as 3594816 + 1058070784 = 1896^2 + 32528^2 .

It is a super-2 number, since 2×1061665600² = 2254267692446720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061665609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 330171 + ... + 333370.

Almost surely, 2^1061665600 is an apocalyptic number.

1061665600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061665600 is an abundant number, since it is smaller than the sum of its proper divisors (1550699254).

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

1061665600 is an equidigital number, since it uses as much as digits as its factorization.

1061665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663563 (or 663548 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1061665600 is about 32583.2104004501. The cubic root of 1061665600 is about 1020.1465892100.

The spelling of 1061665600 in words is "one billion, sixty-one million, six hundred sixty-five thousand, six hundred".