61537632 has 72 divisors (see below), whose sum is σ = 174964104. Its totient is φ = 18929664.

The previous prime is 61537631. The next prime is 61537639. The reversal of 61537632 is 23673516.

It is a junction number, because it is equal to n+sod(n) for n = 61537593 and 61537602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61537631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14328 + ... + 18120.

It is an arithmetic number, because the mean of its divisors is an integer number (2430057).

Almost surely, 2^61537632 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 61537632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87482052).

61537632 is an abundant number, since it is smaller than the sum of its proper divisors (113426472).

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

61537632 is a wasteful number, since it uses less digits than its factorization.

61537632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3811 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 61537632 is about 7844.5925324391. The cubic root of 61537632 is about 394.8028327530.

The spelling of 61537632 in words is "sixty-one million, five hundred thirty-seven thousand, six hundred thirty-two".