61361280 has 256 divisors, whose sum is σ = 224726400. Its totient is φ = 15814656.

The previous prime is 61361257. The next prime is 61361351. The reversal of 61361280 is 8216316.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915807 + ... + 915873.

Almost surely, 2^61361280 is an apocalyptic number.

61361280 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 61361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112363200).

61361280 is an abundant number, since it is smaller than the sum of its proper divisors (163365120).

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

61361280 is a wasteful number, since it uses less digits than its factorization.

61361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61361280 is about 7833.3441134678. The cubic root of 61361280 is about 394.4253353759.

Adding to 61361280 its reverse (8216316), we get a palindrome (69577596).

The spelling of 61361280 in words is "sixty-one million, three hundred sixty-one thousand, two hundred eighty".