61216632 has 96 divisors (see below), whose sum is σ = 177200400. Its totient is φ = 19035648.

The previous prime is 61216619. The next prime is 61216633. The reversal of 61216632 is 23661216.

61216632 is a `hidden beast` number, since 6 + 1 + 21 + 6 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61216596 and 61216605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61216633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99558 + ... + 100170.

Almost surely, 2^61216632 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 61216632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88600200).

61216632 is an abundant number, since it is smaller than the sum of its proper divisors (115983768).

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

61216632 is a wasteful number, since it uses less digits than its factorization.

61216632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 710 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 61216632 is about 7824.1058275051. The cubic root of 61216632 is about 394.1151629823.

Adding to 61216632 its reverse (23661216), we get a palindrome (84877848).

The spelling of 61216632 in words is "sixty-one million, two hundred sixteen thousand, six hundred thirty-two".