61306828 has 36 divisors (see below), whose sum is σ = 124880616. Its totient is φ = 26224000.

The previous prime is 61306801. The next prime is 61306831. The reversal of 61306828 is 82860316.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 61306793 and 61306802.

It is an unprimeable number.

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, 4503 + ... + 11953.

It is an arithmetic number, because the mean of its divisors is an integer number (3468906).

Almost surely, 2^61306828 is an apocalyptic number.

61306828 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

61306828 is an abundant number, since it is smaller than the sum of its proper divisors (63573788).

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

61306828 is a wasteful number, since it uses less digits than its factorization.

61306828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7494 (or 7481 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 61306828 is about 7829.8676872601. The cubic root of 61306828 is about 394.3086298331.

The spelling of 61306828 in words is "sixty-one million, three hundred six thousand, eight hundred twenty-eight".