61740000 has 360 divisors, whose sum is σ = 255855600. Its totient is φ = 14112000.

The previous prime is 61739957. The next prime is 61740011. The reversal of 61740000 is 4716.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

61740000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 8819997 + ... + 8820003.

It is an arithmetic number, because the mean of its divisors is an integer number (710710).

Almost surely, 2^61740000 is an apocalyptic number.

61740000 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 61740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127927800).

61740000 is an abundant number, since it is smaller than the sum of its proper divisors (194115600).

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

61740000 is an equidigital number, since it uses as much as digits as its factorization.

61740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 61740000 is about 7857.4805122253. The cubic root of 61740000 is about 395.2351321300.

Adding to 61740000 its reverse (4716), we get a palindrome (61744716).

The spelling of 61740000 in words is "sixty-one million, seven hundred forty thousand".