661234200 has 192 divisors, whose sum is σ = 2354313600. Its totient is φ = 151833600.

The previous prime is 661234151. The next prime is 661234237. The reversal of 661234200 is 2432166.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122764 + ... + 128036.

It is an arithmetic number, because the mean of its divisors is an integer number (12262050).

Almost surely, 2^661234200 is an apocalyptic number.

661234200 is a gapful number since it is divisible by the number (60) 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 661234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177156800).

661234200 is an abundant number, since it is smaller than the sum of its proper divisors (1693079400).

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

661234200 is a wasteful number, since it uses less digits than its factorization.

661234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 661234200 is about 25714.4745231164. The cubic root of 661234200 is about 871.2011418115.

Adding to 661234200 its reverse (2432166), we get a palindrome (663666366).

The spelling of 661234200 in words is "six hundred sixty-one million, two hundred thirty-four thousand, two hundred".