61551400 has 48 divisors (see below), whose sum is σ = 143813340. Its totient is φ = 24499200.

The previous prime is 61551323. The next prime is 61551401. The reversal of 61551400 is 415516.

61551400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 35070084 + 26481316 = 5922^2 + 5146^2 .

It is not an unprimeable number, because it can be changed into a prime (61551401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47562 + ... + 48838.

Almost surely, 2^61551400 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 61551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71906670).

61551400 is an abundant number, since it is smaller than the sum of its proper divisors (82261940).

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

61551400 is a wasteful number, since it uses less digits than its factorization.

61551400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 61551400 is about 7845.4700305335. The cubic root of 61551400 is about 394.8322740336.

Adding to 61551400 its reverse (415516), we get a palindrome (61966916).

The spelling of 61551400 in words is "sixty-one million, five hundred fifty-one thousand, four hundred".