61794400 has 36 divisors (see below), whose sum is σ = 150857532. Its totient is φ = 24717440.

The previous prime is 61794373. The next prime is 61794407. The reversal of 61794400 is 449716.

61794400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61794407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 37822 + ... + 39421.

It is an arithmetic number, because the mean of its divisors is an integer number (4190487).

Almost surely, 2^61794400 is an apocalyptic number.

It is an amenable number.

61794400 is an abundant number, since it is smaller than the sum of its proper divisors (89063132).

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

61794400 is a wasteful number, since it uses less digits than its factorization.

61794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77263 (or 77250 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 61794400 is about 7860.9414194484. The cubic root of 61794400 is about 395.3511805017.

The spelling of 61794400 in words is "sixty-one million, seven hundred ninety-four thousand, four hundred".