61828641 has 72 divisors (see below), whose sum is σ = 112394880. Its totient is φ = 32550336.

The previous prime is 61828621. The next prime is 61828649. The reversal of 61828641 is 14682816.

61828641 is a `hidden beast` number, since 6 + 1 + 8 + 2 + 8 + 641 = 666.

It is not a de Polignac number, because 61828641 - 2⁷ = 61828513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61828596 and 61828605.

It is not an unprimeable number, because it can be changed into a prime (61828649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 393735 + ... + 393891.

It is an arithmetic number, because the mean of its divisors is an integer number (1561040).

Almost surely, 2^61828641 is an apocalyptic number.

It is an amenable number.

61828641 is a deficient number, since it is larger than the sum of its proper divisors (50566239).

61828641 is a wasteful number, since it uses less digits than its factorization.

61828641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 61828641 is about 7863.1190376339. The cubic root of 61828641 is about 395.4241899230.

The spelling of 61828641 in words is "sixty-one million, eight hundred twenty-eight thousand, six hundred forty-one".