61541460 has 72 divisors (see below), whose sum is σ = 187616520. Its totient is φ = 16328448.

The previous prime is 61541423. The next prime is 61541461. The reversal of 61541460 is 6414516.

61541460 is a `hidden beast` number, since 61 + 541 + 4 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31203396 + 30338064 = 5586^2 + 5508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61541461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40474 + ... + 41966.

It is an arithmetic number, because the mean of its divisors is an integer number (2605785).

Almost surely, 2^61541460 is an apocalyptic number.

61541460 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 61541460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93808260).

61541460 is an abundant number, since it is smaller than the sum of its proper divisors (126075060).

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

61541460 is a wasteful number, since it uses less digits than its factorization.

61541460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61541460 is about 7844.8365183731. The cubic root of 61541460 is about 394.8110189304.

Adding to 61541460 its reverse (6414516), we get a palindrome (67955976).

It can be divided in two parts, 61541 and 460, that added together give a square (62001 = 249²).

The spelling of 61541460 in words is "sixty-one million, five hundred forty-one thousand, four hundred sixty".