61840000 has 80 divisors (see below), whose sum is σ = 154145970. Its totient is φ = 24704000.

The previous prime is 61839971. The next prime is 61840001. The reversal of 61840000 is 4816.

61840000 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 5 ways, for example, as 1498176 + 60341824 = 1224^2 + 7768^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 61840000.

It is not an unprimeable number, because it can be changed into a prime (61840001) 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 9 ways as a sum of consecutive naturals, for example, 79614 + ... + 80386.

Almost surely, 2^61840000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77072985).

61840000 is an abundant number, since it is smaller than the sum of its proper divisors (92305970).

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

61840000 is an frugal number, since it uses more digits than its factorization.

61840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 61840000 is about 7863.8413005350. The cubic root of 61840000 is about 395.4484038810.

Adding to 61840000 its reverse (4816), we get a palindrome (61844816).

The spelling of 61840000 in words is "sixty-one million, eight hundred forty thousand".