61632032 has 48 divisors (see below), whose sum is σ = 151284672. Its totient is φ = 24011520.

The previous prime is 61632031. The next prime is 61632037. The reversal of 61632032 is 23023616.

It is a junction number, because it is equal to n+sod(n) for n = 61631989 and 61632007.

It is not an unprimeable number, because it can be changed into a prime (61632031) 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, 10043 + ... + 14970.

It is an arithmetic number, because the mean of its divisors is an integer number (3151764).

Almost surely, 2^61632032 is an apocalyptic number.

It is an amenable number.

61632032 is an abundant number, since it is smaller than the sum of its proper divisors (89652640).

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

61632032 is a wasteful number, since it uses less digits than its factorization.

61632032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25041 (or 25033 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 61632032 is about 7850.6071102813. The cubic root of 61632032 is about 395.0046081821.

Adding to 61632032 its reverse (23023616), we get a palindrome (84655648).

The spelling of 61632032 in words is "sixty-one million, six hundred thirty-two thousand, thirty-two".