61532600 has 48 divisors (see below), whose sum is σ = 143629200. Its totient is φ = 24515840.

The previous prime is 61532587. The next prime is 61532609. The reversal of 61532600 is 623516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61532609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71372 + ... + 72228.

It is an arithmetic number, because the mean of its divisors is an integer number (2992275).

Almost surely, 2^61532600 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 61532600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71814600).

61532600 is an abundant number, since it is smaller than the sum of its proper divisors (82096600).

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

61532600 is a wasteful number, since it uses less digits than its factorization.

61532600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 61532600 is about 7844.2717953931. The cubic root of 61532600 is about 394.7920713054.

The spelling of 61532600 in words is "sixty-one million, five hundred thirty-two thousand, six hundred".