61632576 has 98 divisors (see below), whose sum is σ = 183508142. Its totient is φ = 20528640.

The previous prime is 61632551. The next prime is 61632577. The reversal of 61632576 is 67523616.

61632576 is a `hidden beast` number, since 616 + 32 + 5 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60466176 + 1166400 = 7776^2 + 1080^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 61632576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61632577) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45996 + ... + 47316.

Almost surely, 2^61632576 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 61632576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91754071).

61632576 is an abundant number, since it is smaller than the sum of its proper divisors (121875566).

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

61632576 is an equidigital number, since it uses as much as digits as its factorization.

61632576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1326 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 61632576 is about 7850.6417572069. The cubic root of 61632576 is about 395.0057703585.

The spelling of 61632576 in words is "sixty-one million, six hundred thirty-two thousand, five hundred seventy-six".