661300 has 36 divisors (see below), whose sum is σ = 1523340. Its totient is φ = 248320.

The previous prime is 661267. The next prime is 661321. The reversal of 661300 is 3166.

661300 = T₅₉ + T₆₀ + ... + T₁₆₀.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11664 + 649636 = 108^2 + 806^2 .

It is a congruent number.

It is an unprimeable number.

661300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1506 + ... + 1894.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

2⁶⁶¹³⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761670).

661300 is an abundant number, since it is smaller than the sum of its proper divisors (862040).

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

661300 is a wasteful number, since it uses less digits than its factorization.

661300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 661300 is about 813.2035415565. The cubic root of 661300 is about 87.1230038852.

Adding to 661300 its reverse (3166), we get a palindrome (664466).

It can be divided in two parts, 661 and 300, that added together give a square (961 = 31²).

The spelling of 661300 in words is "six hundred sixty-one thousand, three hundred".