61257040 has 40 divisors (see below), whose sum is σ = 153380808. Its totient is φ = 22617600.

The previous prime is 61257037. The next prime is 61257043. The reversal of 61257040 is 4075216.

61257040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61257037) and next prime (61257043).

It can be written as a sum of positive squares in 4 ways, for example, as 1411344 + 59845696 = 1188^2 + 7736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 61256996 and 61257014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61257043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28411 + ... + 30490.

Almost surely, 2^61257040 is an apocalyptic number.

It is an amenable number.

61257040 is an abundant number, since it is smaller than the sum of its proper divisors (92123768).

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

61257040 is a wasteful number, since it uses less digits than its factorization.

61257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58927 (or 58921 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 61257040 is about 7826.6876774278. The cubic root of 61257040 is about 394.2018600244.

The spelling of 61257040 in words is "sixty-one million, two hundred fifty-seven thousand, forty".