61565280 has 192 divisors, whose sum is σ = 225566208. Its totient is φ = 13824000.

The previous prime is 61565243. The next prime is 61565291. The reversal of 61565280 is 8256516.

61565280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 245155 + ... + 245405.

It is an arithmetic number, because the mean of its divisors is an integer number (1174824).

Almost surely, 2^61565280 is an apocalyptic number.

61565280 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 61565280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112783104).

61565280 is an abundant number, since it is smaller than the sum of its proper divisors (164000928).

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

61565280 is a wasteful number, since it uses less digits than its factorization.

61565280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 61565280 is about 7846.3545675683. The cubic root of 61565280 is about 394.8619503696.

The spelling of 61565280 in words is "sixty-one million, five hundred sixty-five thousand, two hundred eighty".