61004400 has 120 divisors (see below), whose sum is σ = 202271280. Its totient is φ = 15697920.

The previous prime is 61004369. The next prime is 61004467. The reversal of 61004400 is 440016.

61004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 61004400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33924 + ... + 35676.

It is an arithmetic number, because the mean of its divisors is an integer number (1685594).

Almost surely, 2^61004400 is an apocalyptic number.

61004400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101135640).

61004400 is an abundant number, since it is smaller than the sum of its proper divisors (141266880).

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

61004400 is a wasteful number, since it uses less digits than its factorization.

61004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 61004400 is about 7810.5313519632. The cubic root of 61004400 is about 393.6591828846.

Adding to 61004400 its reverse (440016), we get a palindrome (61444416).

The spelling of 61004400 in words is "sixty-one million, four thousand, four hundred".