61540704 has 144 divisors (see below), whose sum is σ = 185238144. Its totient is φ = 19353600.

The previous prime is 61540693. The next prime is 61540711. The reversal of 61540704 is 40704516.

61540704 is a `hidden beast` number, since 615 + 40 + 7 + 0 + 4 = 666.

61540704 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 544552 + ... + 544664.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^61540704 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 61540704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

61540704 is an abundant number, since it is smaller than the sum of its proper divisors (123697440).

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

61540704 is a wasteful number, since it uses less digits than its factorization.

61540704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 61540704 is about 7844.7883336646. The cubic root of 61540704 is about 394.8094022514.

The spelling of 61540704 in words is "sixty-one million, five hundred forty thousand, seven hundred four".