61006112 has 36 divisors (see below), whose sum is σ = 126783846. Its totient is φ = 28892160.

The previous prime is 61006103. The next prime is 61006123. The reversal of 61006112 is 21160016.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 58920976 + 2085136 = 7676^2 + 1444^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8912 + ... + 14192.

Almost surely, 2^61006112 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 61006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63391923).

61006112 is an abundant number, since it is smaller than the sum of its proper divisors (65777734).

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

61006112 is a wasteful number, since it uses less digits than its factorization.

61006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 61006112 is about 7810.6409468110. The cubic root of 61006112 is about 393.6628653415.

Adding to 61006112 its reverse (21160016), we get a palindrome (82166128).

The spelling of 61006112 in words is "sixty-one million, six thousand, one hundred twelve".