61095456 has 72 divisors (see below), whose sum is σ = 174558384. Its totient is φ = 20269440.

The previous prime is 61095449. The next prime is 61095457. The reversal of 61095456 is 65459016.

61095456 is a `hidden beast` number, since 6 + 109 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61095456.

It is not an unprimeable number, because it can be changed into a prime (61095457) 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 11 ways as a sum of consecutive naturals, for example, 88071 + ... + 88761.

It is an arithmetic number, because the mean of its divisors is an integer number (2424422).

Almost surely, 2^61095456 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 61095456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87279192).

61095456 is an abundant number, since it is smaller than the sum of its proper divisors (113462928).

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

61095456 is a wasteful number, since it uses less digits than its factorization.

61095456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 61095456 is about 7816.3582312993. The cubic root of 61095456 is about 393.8549458737.

The spelling of 61095456 in words is "sixty-one million, ninety-five thousand, four hundred fifty-six".