61445800 has 48 divisors (see below), whose sum is σ = 153857340. Its totient is φ = 22686720.

The previous prime is 61445777. The next prime is 61445801. The reversal of 61445800 is 854416.

61445800 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 24940036 + 36505764 = 4994^2 + 6042^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61445801) 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, 9217 + ... + 14416.

Almost surely, 2^61445800 is an apocalyptic number.

It is an amenable number.

61445800 is an abundant number, since it is smaller than the sum of its proper divisors (92411540).

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

61445800 is a wasteful number, since it uses less digits than its factorization.

61445800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23662 (or 23653 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 61445800 is about 7838.7371431883. The cubic root of 61445800 is about 394.6063481949.

The spelling of 61445800 in words is "sixty-one million, four hundred forty-five thousand, eight hundred".