61740400 has 30 divisors (see below), whose sum is σ = 148332272. Its totient is φ = 24696000.

The previous prime is 61740377. The next prime is 61740409. The reversal of 61740400 is 404716.

61740400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61740409) 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 5 ways as a sum of consecutive naturals, for example, 76776 + ... + 77575.

Almost surely, 2^61740400 is an apocalyptic number.

It is an amenable number.

61740400 is an abundant number, since it is smaller than the sum of its proper divisors (86591872).

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

61740400 is a wasteful number, since it uses less digits than its factorization.

61740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154369 (or 154358 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 61740400 is about 7857.5059656357. The cubic root of 61740400 is about 395.2359856756.

The spelling of 61740400 in words is "sixty-one million, seven hundred forty thousand, four hundred".