61257216 has 80 divisors (see below), whose sum is σ = 171864000. Its totient is φ = 19335168.

The previous prime is 61257199. The next prime is 61257253. The reversal of 61257216 is 61275216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28135 + ... + 30233.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2^61257216 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 61257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85932000).

61257216 is an abundant number, since it is smaller than the sum of its proper divisors (110606784).

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

61257216 is a wasteful number, since it uses less digits than its factorization.

61257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2123 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 61257216 is about 7826.6989210011. The cubic root of 61257216 is about 394.2022375564.

The spelling of 61257216 in words is "sixty-one million, two hundred fifty-seven thousand, two hundred sixteen".