61024900 has 36 divisors (see below), whose sum is σ = 140217588. Its totient is φ = 22973440.

The previous prime is 61024879. The next prime is 61024919. The reversal of 61024900 is 942016.

It can be written as a sum of positive squares in 6 ways, for example, as 589824 + 60435076 = 768^2 + 7774^2 .

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 11 ways as a sum of consecutive naturals, for example, 16249 + ... + 19648.

It is an arithmetic number, because the mean of its divisors is an integer number (3894933).

Almost surely, 2^61024900 is an apocalyptic number.

It is an amenable number.

61024900 is an abundant number, since it is smaller than the sum of its proper divisors (79192688).

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

61024900 is a wasteful number, since it uses less digits than its factorization.

61024900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35928 (or 35921 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 61024900 is about 7811.8435724226. The cubic root of 61024900 is about 393.7032731987.

Adding to 61024900 its reverse (942016), we get a palindrome (61966916).

The spelling of 61024900 in words is "sixty-one million, twenty-four thousand, nine hundred".