61828020 has 36 divisors (see below), whose sum is σ = 187545540. Its totient is φ = 16487424.

The previous prime is 61828009. The next prime is 61828021. The reversal of 61828020 is 2082816.

61828020 is a `hidden beast` number, since 618 + 28 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44036496 + 17791524 = 6636^2 + 4218^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61828021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171565 + ... + 171924.

Almost surely, 2^61828020 is an apocalyptic number.

61828020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61828020 is an abundant number, since it is smaller than the sum of its proper divisors (125717520).

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

61828020 is a wasteful number, since it uses less digits than its factorization.

61828020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343504 (or 343499 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 61828020 is about 7863.0795493878. The cubic root of 61828020 is about 395.4228660531.

The spelling of 61828020 in words is "sixty-one million, eight hundred twenty-eight thousand, twenty".