61523600 has 60 divisors (see below), whose sum is σ = 151841844. Its totient is φ = 23938560.

The previous prime is 61523599. The next prime is 61523603. The reversal of 61523600 is 632516.

It can be written as a sum of positive squares in 6 ways, for example, as 246016 + 61277584 = 496^2 + 7828^2 .

It is not an unprimeable number, because it can be changed into a prime (61523603) 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, 12722 + ... + 16878.

Almost surely, 2^61523600 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 61523600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75920922).

61523600 is an abundant number, since it is smaller than the sum of its proper divisors (90318244).

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

61523600 is a wasteful number, since it uses less digits than its factorization.

61523600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4201 counting only the distinct ones).

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

The square root of 61523600 is about 7843.6981073981. The cubic root of 61523600 is about 394.7728224201.

The spelling of 61523600 in words is "sixty-one million, five hundred twenty-three thousand, six hundred".