61741440 has 192 divisors, whose sum is σ = 221654160. Its totient is φ = 16422912.

The previous prime is 61741439. The next prime is 61741447. The reversal of 61741440 is 4414716.

61741440 is a `hidden beast` number, since 617 + 4 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61741447) 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 23 ways as a sum of consecutive naturals, for example, 155322 + ... + 155718.

Almost surely, 2^61741440 is an apocalyptic number.

61741440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110827080).

61741440 is an abundant number, since it is smaller than the sum of its proper divisors (159912720).

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

61741440 is an equidigital number, since it uses as much as digits as its factorization.

61741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 61741440 is about 7857.5721441168. The cubic root of 61741440 is about 395.2382048768.

The spelling of 61741440 in words is "sixty-one million, seven hundred forty-one thousand, four hundred forty".