61034000 has 40 divisors (see below), whose sum is σ = 147585048. Its totient is φ = 24412800.

The previous prime is 61033993. The next prime is 61034003. The reversal of 61034000 is 43016.

It can be written as a sum of positive squares in 4 ways, for example, as 18627856 + 42406144 = 4316^2 + 6512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (61034003) 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 7 ways as a sum of consecutive naturals, for example, 13259 + ... + 17258.

Almost surely, 2^61034000 is an apocalyptic number.

It is an amenable number.

61034000 is an abundant number, since it is smaller than the sum of its proper divisors (86551048).

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

61034000 is a wasteful number, since it uses less digits than its factorization.

61034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30540 (or 30524 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 61034000 is about 7812.4259996495. The cubic root of 61034000 is about 393.7228418322.

Adding to 61034000 its reverse (43016), we get a palindrome (61077016).

The spelling of 61034000 in words is "sixty-one million, thirty-four thousand".