61789000 has 192 divisors, whose sum is σ = 182997360. Its totient is φ = 19353600.

The previous prime is 61788977. The next prime is 61789003. The reversal of 61789000 is 98716.

It can be written as a sum of positive squares in 8 ways, for example, as 103684 + 61685316 = 322^2 + 7854^2 .

It is not an unprimeable number, because it can be changed into a prime (61789003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636952 + ... + 637048.

Almost surely, 2^61789000 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 61789000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91498680).

61789000 is an abundant number, since it is smaller than the sum of its proper divisors (121208360).

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

61789000 is a wasteful number, since it uses less digits than its factorization.

61789000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 61789000 is about 7860.5979416327. The cubic root of 61789000 is about 395.3396640397.

The spelling of 61789000 in words is "sixty-one million, seven hundred eighty-nine thousand".