61004064 has 96 divisors (see below), whose sum is σ = 179081280. Its totient is φ = 18022400.

The previous prime is 61004051. The next prime is 61004093. The reversal of 61004064 is 46040016.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 61004064.

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 15 ways as a sum of consecutive naturals, for example, 42592 + ... + 44000.

It is an arithmetic number, because the mean of its divisors is an integer number (1865430).

Almost surely, 2^61004064 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 61004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89540640).

61004064 is an abundant number, since it is smaller than the sum of its proper divisors (118077216).

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

61004064 is a wasteful number, since it uses less digits than its factorization.

61004064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 61004064 is about 7810.5098425135. The cubic root of 61004064 is about 393.6584601514.

The spelling of 61004064 in words is "sixty-one million, four thousand, sixty-four".