61006914 has 48 divisors (see below), whose sum is σ = 140818392. Its totient is φ = 19021824.

The previous prime is 61006873. The next prime is 61006927. The reversal of 61006914 is 41960016.

It can be written as a sum of positive squares in 4 ways, for example, as 60606225 + 400689 = 7785^2 + 633^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58542 + ... + 59574.

Almost surely, 2^61006914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61006914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70409196).

61006914 is an abundant number, since it is smaller than the sum of its proper divisors (79811478).

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

61006914 is a wasteful number, since it uses less digits than its factorization.

61006914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61006914 is about 7810.6922868591. The cubic root of 61006914 is about 393.6645903940.

The spelling of 61006914 in words is "sixty-one million, six thousand, nine hundred fourteen".