61635132 has 144 divisors (see below), whose sum is σ = 181988352. Its totient is φ = 17418240.

The previous prime is 61635113. The next prime is 61635137. The reversal of 61635132 is 23153616.

61635132 is a `hidden beast` number, since 616 + 35 + 13 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61635096 and 61635105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61635137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485253 + ... + 485379.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^61635132 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 61635132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90994176).

61635132 is an abundant number, since it is smaller than the sum of its proper divisors (120353220).

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

61635132 is a wasteful number, since it uses less digits than its factorization.

61635132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 61635132 is about 7850.8045447585. The cubic root of 61635132 is about 395.0112307868.

Adding to 61635132 its reverse (23153616), we get a palindrome (84788748).

The spelling of 61635132 in words is "sixty-one million, six hundred thirty-five thousand, one hundred thirty-two".