661483600 has 120 divisors (see below), whose sum is σ = 1703161080. Its totient is φ = 246005760.

The previous prime is 661483561. The next prime is 661483607. The reversal of 661483600 is 6384166.

It can be written as a sum of positive squares in 12 ways, for example, as 31674384 + 629809216 = 5628^2 + 25096^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661483607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604654 + ... + 605746.

It is an arithmetic number, because the mean of its divisors is an integer number (14193009).

Almost surely, 2^661483600 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 661483600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851580540).

661483600 is an abundant number, since it is smaller than the sum of its proper divisors (1041677480).

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

661483600 is a wasteful number, since it uses less digits than its factorization.

661483600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 661483600 is about 25719.3234747728. The cubic root of 661483600 is about 871.3106593639.

The spelling of 661483600 in words is "six hundred sixty-one million, four hundred eighty-three thousand, six hundred".