61236800 has 42 divisors (see below), whose sum is σ = 150684738. Its totient is φ = 24494080.

The previous prime is 61236761. The next prime is 61236803. The reversal of 61236800 is 863216.

It can be written as a sum of positive squares in 3 ways, for example, as 13017664 + 48219136 = 3608^2 + 6944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61236800.

It is not an unprimeable number, because it can be changed into a prime (61236803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17537 + ... + 20736.

Almost surely, 2^61236800 is an apocalyptic number.

It is an amenable number.

61236800 is an abundant number, since it is smaller than the sum of its proper divisors (89447938).

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

61236800 is a wasteful number, since it uses less digits than its factorization.

61236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38295 (or 38280 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 61236800 is about 7825.3945587427. The cubic root of 61236800 is about 394.1584390312.

The spelling of 61236800 in words is "sixty-one million, two hundred thirty-six thousand, eight hundred".