61344540 has 120 divisors (see below), whose sum is σ = 202670160. Its totient is φ = 15489792.

The previous prime is 61344539. The next prime is 61344571. The reversal of 61344540 is 4544316.

61344540 is a `hidden beast` number, since 613 + 4 + 4 + 5 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 29784 + ... + 31776.

It is an arithmetic number, because the mean of its divisors is an integer number (1688918).

Almost surely, 2^61344540 is an apocalyptic number.

61344540 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 61344540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101335080).

61344540 is an abundant number, since it is smaller than the sum of its proper divisors (141325620).

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

61344540 is a wasteful number, since it uses less digits than its factorization.

61344540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 61344540 is about 7832.2755314149. The cubic root of 61344540 is about 394.3894643258.

Adding to 61344540 its reverse (4544316), we get a palindrome (65888856).

The spelling of 61344540 in words is "sixty-one million, three hundred forty-four thousand, five hundred forty".