61226880 has 256 divisors, whose sum is σ = 230307840. Its totient is φ = 13639680.

The previous prime is 61226849. The next prime is 61226887. The reversal of 61226880 is 8862216.

61226880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61226887) 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 31 ways as a sum of consecutive naturals, for example, 274449 + ... + 274671.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 2^61226880 is an apocalyptic number.

61226880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

61226880 is an abundant number, since it is smaller than the sum of its proper divisors (169080960).

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

61226880 is a wasteful number, since it uses less digits than its factorization.

61226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 61226880 is about 7824.7606992163. The cubic root of 61226880 is about 394.1371541020.

The spelling of 61226880 in words is "sixty-one million, two hundred twenty-six thousand, eight hundred eighty".