61104456 has 160 divisors (see below), whose sum is σ = 206184000. Its totient is φ = 16516224.

The previous prime is 61104451. The next prime is 61104481. The reversal of 61104456 is 65440116.

61104456 is a `hidden beast` number, since 611 + 0 + 4 + 45 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61104451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85830 + ... + 86538.

It is an arithmetic number, because the mean of its divisors is an integer number (1288650).

Almost surely, 2^61104456 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 61104456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103092000).

61104456 is an abundant number, since it is smaller than the sum of its proper divisors (145079544).

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

61104456 is a wasteful number, since it uses less digits than its factorization.

61104456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 740 counting only the distinct ones).

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

The square root of 61104456 is about 7816.9339257793. The cubic root of 61104456 is about 393.8742845758.

61104456 divided by its sum of digits (27) gives a triangular number (2263128 = T₂₁₂₇).

The spelling of 61104456 in words is "sixty-one million, one hundred four thousand, four hundred fifty-six".