61006128 has 20 divisors (see below), whose sum is σ = 157599288. Its totient is φ = 20335360.

The previous prime is 61006123. The next prime is 61006129. The reversal of 61006128 is 82160016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 61006098 and 61006107.

It is not an unprimeable number, because it can be changed into a prime (61006123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 635433 + ... + 635528.

Almost surely, 2^61006128 is an apocalyptic number.

It is an amenable number.

61006128 is an abundant number, since it is smaller than the sum of its proper divisors (96593160).

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

61006128 is a wasteful number, since it uses less digits than its factorization.

61006128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270972 (or 1270966 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 61006128 is about 7810.6419710546. The cubic root of 61006128 is about 393.6628997567.

The spelling of 61006128 in words is "sixty-one million, six thousand, one hundred twenty-eight".