61385600 has 48 divisors (see below), whose sum is σ = 151649520. Its totient is φ = 24552960.

The previous prime is 61385591. The next prime is 61385603. The reversal of 61385600 is 658316.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61385603) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6392 + ... + 12791.

It is an arithmetic number, because the mean of its divisors is an integer number (3159365).

Almost surely, 2^61385600 is an apocalyptic number.

It is an amenable number.

61385600 is an abundant number, since it is smaller than the sum of its proper divisors (90263920).

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

61385600 is a wasteful number, since it uses less digits than its factorization.

61385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19207 (or 19190 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 61385600 is about 7834.8962979736. The cubic root of 61385600 is about 394.4774374895.

The spelling of 61385600 in words is "sixty-one million, three hundred eighty-five thousand, six hundred".