61095440 has 80 divisors (see below), whose sum is σ = 164513280. Its totient is φ = 20666880.

The previous prime is 61095439. The next prime is 61095443. The reversal of 61095440 is 4459016.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61095443) 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 15 ways as a sum of consecutive naturals, for example, 43550 + ... + 44930.

It is an arithmetic number, because the mean of its divisors is an integer number (2056416).

Almost surely, 2^61095440 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 61095440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82256640).

61095440 is an abundant number, since it is smaller than the sum of its proper divisors (103417840).

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

61095440 is a wasteful number, since it uses less digits than its factorization.

61095440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 61095440 is about 7816.3572078047. The cubic root of 61095440 is about 393.8549114921.

The spelling of 61095440 in words is "sixty-one million, ninety-five thousand, four hundred forty".