61039200 has 144 divisors (see below), whose sum is σ = 205768080. Its totient is φ = 15697920.

The previous prime is 61039151. The next prime is 61039213. The reversal of 61039200 is 293016.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69162 + ... + 70038.

It is an arithmetic number, because the mean of its divisors is an integer number (1428945).

Almost surely, 2^61039200 is an apocalyptic number.

61039200 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 61039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102884040).

61039200 is an abundant number, since it is smaller than the sum of its proper divisors (144728880).

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

61039200 is a wasteful number, since it uses less digits than its factorization.

61039200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 61039200 is about 7812.7587957136. The cubic root of 61039200 is about 393.7340230353.

The spelling of 61039200 in words is "sixty-one million, thirty-nine thousand, two hundred".