61590528 has 132 divisors (see below), whose sum is σ = 183296568. Its totient is φ = 19906560.

The previous prime is 61590523. The next prime is 61590547. The reversal of 61590528 is 82509516.

It is a happy number.

61590528 is a `hidden beast` number, since 61 + 590 + 5 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61590492 and 61590501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61590523) 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 11 ways as a sum of consecutive naturals, for example, 377775 + ... + 377937.

Almost surely, 2^61590528 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 61590528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91648284).

61590528 is an abundant number, since it is smaller than the sum of its proper divisors (121706040).

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

61590528 is a wasteful number, since it uses less digits than its factorization.

61590528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 61590528 is about 7847.9633026665. The cubic root of 61590528 is about 394.9159207893.

The spelling of 61590528 in words is "sixty-one million, five hundred ninety thousand, five hundred twenty-eight".