61601000 has 64 divisors (see below), whose sum is σ = 145314000. Its totient is φ = 24441600.

The previous prime is 61600963. The next prime is 61601003. The reversal of 61601000 is 10616.

It can be written as a sum of positive squares in 8 ways, for example, as 1909924 + 59691076 = 1382^2 + 7726^2 .

It is not an unprimeable number, because it can be changed into a prime (61601003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228866 + ... + 229134.

Almost surely, 2^61601000 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 61601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72657000).

61601000 is an abundant number, since it is smaller than the sum of its proper divisors (83713000).

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

61601000 is a wasteful number, since it uses less digits than its factorization.

61601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 61601000 is about 7848.6304537798. The cubic root of 61601000 is about 394.9383015314.

Adding to 61601000 its reverse (10616), we get a palindrome (61611616).

The spelling of 61601000 in words is "sixty-one million, six hundred one thousand".