61756240 has 160 divisors (see below), whose sum is σ = 187488000. Its totient is φ = 18358272.

The previous prime is 61756231. The next prime is 61756241. The reversal of 61756240 is 4265716.

It is a happy number.

61756240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61756241) 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 31 ways as a sum of consecutive naturals, for example, 123511 + ... + 124009.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^61756240 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 61756240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

61756240 is an abundant number, since it is smaller than the sum of its proper divisors (125731760).

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

61756240 is a wasteful number, since it uses less digits than its factorization.

61756240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 61756240 is about 7858.5138544129. The cubic root of 61756240 is about 395.2697831172.

The spelling of 61756240 in words is "sixty-one million, seven hundred fifty-six thousand, two hundred forty".