61296400 has 60 divisors (see below), whose sum is σ = 160663824. Its totient is φ = 22288000.

The previous prime is 61296379. The next prime is 61296409. The reversal of 61296400 is 469216.

61296400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61296409) 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 11 ways as a sum of consecutive naturals, for example, 2566 + ... + 11365.

Almost surely, 2^61296400 is an apocalyptic number.

It is an amenable number.

61296400 is an abundant number, since it is smaller than the sum of its proper divisors (99367424).

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

61296400 is a wasteful number, since it uses less digits than its factorization.

61296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13960 (or 13949 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 61296400 is about 7829.2017473048. The cubic root of 61296400 is about 394.2862718909.

The spelling of 61296400 in words is "sixty-one million, two hundred ninety-six thousand, four hundred".