61411000 has 128 divisors (see below), whose sum is σ = 170127360. Its totient is φ = 20304000.

The previous prime is 61410997. The next prime is 61411027. The reversal of 61411000 is 11416.

61411000 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 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 31 ways as a sum of consecutive naturals, for example, 216859 + ... + 217141.

It is an arithmetic number, because the mean of its divisors is an integer number (1329120).

Almost surely, 2^61411000 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 61411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85063680).

61411000 is an abundant number, since it is smaller than the sum of its proper divisors (108716360).

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

61411000 is a wasteful number, since it uses less digits than its factorization.

61411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 61411000 is about 7836.5170835008. The cubic root of 61411000 is about 394.5318386587.

Adding to 61411000 its reverse (11416), we get a palindrome (61422416).

The spelling of 61411000 in words is "sixty-one million, four hundred eleven thousand".