61321200 has 120 divisors (see below), whose sum is σ = 198396528. Its totient is φ = 16189440.

The previous prime is 61321177. The next prime is 61321201. The reversal of 61321200 is 212316.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 61321200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61321201) 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 23 ways as a sum of consecutive naturals, for example, 164214 + ... + 164586.

Almost surely, 2^61321200 is an apocalyptic number.

61321200 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 61321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99198264).

61321200 is an abundant number, since it is smaller than the sum of its proper divisors (137075328).

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

61321200 is a wasteful number, since it uses less digits than its factorization.

61321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 61321200 is about 7830.7854012225. The cubic root of 61321200 is about 394.3394396740.

Adding to 61321200 its reverse (212316), we get a palindrome (61533516).

The spelling of 61321200 in words is "sixty-one million, three hundred twenty-one thousand, two hundred".