61775460 has 168 divisors, whose sum is σ = 205658880. Its totient is φ = 15536448.

The previous prime is 61775453. The next prime is 61775503. The reversal of 61775460 is 6457716.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 276909 + ... + 277131.

It is an arithmetic number, because the mean of its divisors is an integer number (1224160).

Almost surely, 2^61775460 is an apocalyptic number.

61775460 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 61775460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102829440).

61775460 is an abundant number, since it is smaller than the sum of its proper divisors (143883420).

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

61775460 is a wasteful number, since it uses less digits than its factorization.

61775460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 61775460 is about 7859.7366368091. The cubic root of 61775460 is about 395.3107846270.

The spelling of 61775460 in words is "sixty-one million, seven hundred seventy-five thousand, four hundred sixty".