61957280 has 192 divisors, whose sum is σ = 188116992. Its totient is φ = 18723840.

The previous prime is 61957279. The next prime is 61957283. The reversal of 61957280 is 8275916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61957283) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 578987 + ... + 579093.

It is an arithmetic number, because the mean of its divisors is an integer number (979776).

Almost surely, 2^61957280 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 61957280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94058496).

61957280 is an abundant number, since it is smaller than the sum of its proper divisors (126159712).

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

61957280 is a wasteful number, since it uses less digits than its factorization.

61957280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 61957280 is about 7871.2946838497. The cubic root of 61957280 is about 395.6982362484.

The spelling of 61957280 in words is "sixty-one million, nine hundred fifty-seven thousand, two hundred eighty".