61296820 has 48 divisors (see below), whose sum is σ = 139200768. Its totient is φ = 22538880.

The previous prime is 61296803. The next prime is 61296821. The reversal of 61296820 is 2869216.

It is a happy number.

61296820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61296820² = 7514600284224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61296821) by changing a digit.

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 in 15 ways as a sum of consecutive naturals, for example, 111787 + ... + 112333.

It is an arithmetic number, because the mean of its divisors is an integer number (2900016).

Almost surely, 2^61296820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61296820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69600384).

61296820 is an abundant number, since it is smaller than the sum of its proper divisors (77903948).

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

61296820 is a wasteful number, since it uses less digits than its factorization.

61296820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 61296820 is about 7829.2285699167. The cubic root of 61296820 is about 394.2871724324.

The spelling of 61296820 in words is "sixty-one million, two hundred ninety-six thousand, eight hundred twenty".