61199632 has 40 divisors (see below), whose sum is σ = 128524760. Its totient is φ = 28229760.

The previous prime is 61199617. The next prime is 61199639. The reversal of 61199632 is 23699116.

It can be written as a sum of positive squares in 4 ways, for example, as 41165056 + 20034576 = 6416^2 + 4476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61199591 and 61199600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61199639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34282 + ... + 36022.

It is an arithmetic number, because the mean of its divisors is an integer number (3213119).

Almost surely, 2^61199632 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 61199632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64262380).

61199632 is an abundant number, since it is smaller than the sum of its proper divisors (67325128).

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

61199632 is a wasteful number, since it uses less digits than its factorization.

61199632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1756 counting only the distinct ones).

The product of its digits is 17496, while the sum is 37.

The square root of 61199632 is about 7823.0193659482. The cubic root of 61199632 is about 394.0786773746.

It can be divided in two parts, 6119 and 9632, that added together give a palindrome (15751).

The spelling of 61199632 in words is "sixty-one million, one hundred ninety-nine thousand, six hundred thirty-two".