61165280 has 96 divisors (see below), whose sum is σ = 164602368. Its totient is φ = 21260800.

The previous prime is 61165277. The next prime is 61165309. The reversal of 61165280 is 8256116.

It is a happy number.

61165280 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 15 ways as a sum of consecutive naturals, for example, 39725 + ... + 41235.

It is an arithmetic number, because the mean of its divisors is an integer number (1714608).

Almost surely, 2^61165280 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 61165280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82301184).

61165280 is an abundant number, since it is smaller than the sum of its proper divisors (103437088).

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

61165280 is a wasteful number, since it uses less digits than its factorization.

61165280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 61165280 is about 7820.8234860531. The cubic root of 61165280 is about 394.0049300662.

The spelling of 61165280 in words is "sixty-one million, one hundred sixty-five thousand, two hundred eighty".