61824032 has 12 divisors (see below), whose sum is σ = 121716126. Its totient is φ = 30912000.

The previous prime is 61824011. The next prime is 61824041. The reversal of 61824032 is 23042816.

61824032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 54228496 + 7595536 = 7364^2 + 2756^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 61823992 and 61824010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 965969 + ... + 966032.

Almost surely, 2^61824032 is an apocalyptic number.

It is an amenable number.

61824032 is a deficient number, since it is larger than the sum of its proper divisors (59892094).

61824032 is a wasteful number, since it uses less digits than its factorization.

61824032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932011 (or 1932003 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 61824032 is about 7862.8259550876. The cubic root of 61824032 is about 395.4143640810.

Adding to 61824032 its reverse (23042816), we get a palindrome (84866848).

The spelling of 61824032 in words is "sixty-one million, eight hundred twenty-four thousand, thirty-two".