61205600 has 36 divisors (see below), whose sum is σ = 149420124. Its totient is φ = 24481920.

The previous prime is 61205591. The next prime is 61205629. The reversal of 61205600 is 650216.

61205600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61205600² = 7492250942720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 37454 + ... + 39053.

It is an arithmetic number, because the mean of its divisors is an integer number (4150559).

Almost surely, 2^61205600 is an apocalyptic number.

It is an amenable number.

61205600 is an abundant number, since it is smaller than the sum of its proper divisors (88214524).

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

61205600 is a wasteful number, since it uses less digits than its factorization.

61205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76527 (or 76514 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 61205600 is about 7823.4007950507. The cubic root of 61205600 is about 394.0914867387.

Adding to 61205600 its reverse (650216), we get a palindrome (61855816).

The spelling of 61205600 in words is "sixty-one million, two hundred five thousand, six hundred".