61258240 has 40 divisors (see below), whose sum is σ = 146882340. Its totient is φ = 24502272.

The previous prime is 61258231. The next prime is 61258243. The reversal of 61258240 is 4285216.

It can be written as a sum of positive squares in 2 ways, for example, as 61214976 + 43264 = 7824^2 + 208^2 .

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 = 61258199 and 61258208.

It is not an unprimeable number, because it can be changed into a prime (61258243) 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 3 ways as a sum of consecutive naturals, for example, 9405 + ... + 14524.

Almost surely, 2^61258240 is an apocalyptic number.

It is an amenable number.

61258240 is an abundant number, since it is smaller than the sum of its proper divisors (85624100).

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

61258240 is an equidigital number, since it uses as much as digits as its factorization.

61258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23952 (or 23936 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 61258240 is about 7826.7643378346. The cubic root of 61258240 is about 394.2044340913.

It can be divided in two parts, 6125 and 8240, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 61258240 in words is "sixty-one million, two hundred fifty-eight thousand, two hundred forty".