61604400 has 240 divisors, whose sum is σ = 232485120. Its totient is φ = 13747200.

The previous prime is 61604399. The next prime is 61604407. The reversal of 61604400 is 440616.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (61604407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171421 + ... + 171779.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 2^61604400 is an apocalyptic number.

61604400 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 61604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

61604400 is an abundant number, since it is smaller than the sum of its proper divisors (170880720).

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

61604400 is a wasteful number, since it uses less digits than its factorization.

61604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

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

The square root of 61604400 is about 7848.8470490894. The cubic root of 61604400 is about 394.9455674606.

The spelling of 61604400 in words is "sixty-one million, six hundred four thousand, four hundred".