61650500 has 48 divisors (see below), whose sum is σ = 142584624. Its totient is φ = 23206400.

The previous prime is 61650467. The next prime is 61650521. The reversal of 61650500 is 505616.

61650500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6801664 + 54848836 = 2608^2 + 7406^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4874 + ... + 12126.

It is an arithmetic number, because the mean of its divisors is an integer number (2970513).

Almost surely, 2^61650500 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 61650500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71292312).

61650500 is an abundant number, since it is smaller than the sum of its proper divisors (80934124).

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

61650500 is a wasteful number, since it uses less digits than its factorization.

61650500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7289 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 61650500 is about 7851.7832369469. The cubic root of 61650500 is about 395.0440585369.

The spelling of 61650500 in words is "sixty-one million, six hundred fifty thousand, five hundred".